Confused by long division? By the end of this article you'll be able to divide 6409 by 61 using long division and be able to apply the same technique to any other long division problem you have! Let's take a look.

Want to quickly learn or show students how to solve 6409 divided by 61 using long division? Play this very quick and fun video now!

Okay so the first thing we need to do is clarify the terms so that you know what each part of the division is:

- The first number, 6409, is called the dividend.
- The second number, 61 is called the divisor.

What we'll do here is break down each step of the long division process for 6409 divided by 61 and explain each of them so you understand exactly what is going on.

## 6409 divided by 61 step-by-step guide

### Step 1

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:

6 | 1 | 6 | 4 | 0 | 9 |

### Step 2

We can work out that the divisor (61) goes into the first digit of the dividend (6), 0 time(s). Now we know that, we can put 0 at the top:

0 | |||||||||

6 | 1 | 6 | 4 | 0 | 9 |

### Step 3

If we multiply the divisor by the result in the previous step (61 x 0 = 0), we can now add that answer below the dividend:

0 | |||||||||

6 | 1 | 6 | 4 | 0 | 9 | ||||

0 |

### Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (6 - 0 = 6) and write that answer below:

0 | |||||||||

6 | 1 | 6 | 4 | 0 | 9 | ||||

- | 0 | ||||||||

6 |

### Step 5

Move the second digit of the dividend (4) down like so:

0 | |||||||||

6 | 1 | 6 | 4 | 0 | 9 | ||||

- | 0 | ||||||||

6 | 4 |

### Step 6

The divisor (61) goes into the bottom number (64), 1 time(s), so we can put 1 on top:

0 | 1 | ||||||||

6 | 1 | 6 | 4 | 0 | 9 | ||||

- | 0 | ||||||||

6 | 4 |

### Step 7

If we multiply the divisor by the result in the previous step (61 x 1 = 61), we can now add that answer below the dividend:

0 | 1 | ||||||||

6 | 1 | 6 | 4 | 0 | 9 | ||||

- | 0 | ||||||||

6 | 4 | ||||||||

6 | 1 |

### Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (64 - 61 = 3) and write that answer below:

0 | 1 | ||||||||

6 | 1 | 6 | 4 | 0 | 9 | ||||

- | 0 | ||||||||

6 | 4 | ||||||||

- | 6 | 1 | |||||||

3 |

### Step 9

Move the third digit of the dividend (0) down like so:

0 | 1 | ||||||||

6 | 1 | 6 | 4 | 0 | 9 | ||||

- | 0 | ||||||||

6 | 4 | ||||||||

- | 6 | 1 | |||||||

3 | 0 |

### Step 10

The divisor (61) goes into the bottom number (30), 0 time(s), so we can put 0 on top:

0 | 1 | 0 | |||||||

6 | 1 | 6 | 4 | 0 | 9 | ||||

- | 0 | ||||||||

6 | 4 | ||||||||

- | 6 | 1 | |||||||

3 | 0 |

### Step 11

If we multiply the divisor by the result in the previous step (61 x 0 = 0), we can now add that answer below the dividend:

0 | 1 | 0 | |||||||

6 | 1 | 6 | 4 | 0 | 9 | ||||

- | 0 | ||||||||

6 | 4 | ||||||||

- | 6 | 1 | |||||||

3 | 0 | ||||||||

0 |

### Step 12

Next, we will subtract the result from the previous step from the fourth digit of the dividend (30 - 0 = 30) and write that answer below:

0 | 1 | 0 | |||||||

6 | 1 | 6 | 4 | 0 | 9 | ||||

- | 0 | ||||||||

6 | 4 | ||||||||

- | 6 | 1 | |||||||

3 | 0 | ||||||||

- | 0 | ||||||||

3 | 0 |

### Step 13

Move the fourth digit of the dividend (9) down like so:

0 | 1 | 0 | |||||||

6 | 1 | 6 | 4 | 0 | 9 | ||||

- | 0 | ||||||||

6 | 4 | ||||||||

- | 6 | 1 | |||||||

3 | 0 | ||||||||

- | 0 | ||||||||

3 | 0 | 9 |

### Step 14

The divisor (61) goes into the bottom number (309), 5 time(s), so we can put 5 on top:

0 | 1 | 0 | 5 | ||||||

6 | 1 | 6 | 4 | 0 | 9 | ||||

- | 0 | ||||||||

6 | 4 | ||||||||

- | 6 | 1 | |||||||

3 | 0 | ||||||||

- | 0 | ||||||||

3 | 0 | 9 |

### Step 15

If we multiply the divisor by the result in the previous step (61 x 5 = 305), we can now add that answer below the dividend:

0 | 1 | 0 | 5 | ||||||

6 | 1 | 6 | 4 | 0 | 9 | ||||

- | 0 | ||||||||

6 | 4 | ||||||||

- | 6 | 1 | |||||||

3 | 0 | ||||||||

- | 0 | ||||||||

3 | 0 | 9 | |||||||

3 | 0 | 5 |

### Step 16

Next, we will subtract the result from the previous step from the fifth digit of the dividend (309 - 305 = 4) and write that answer below:

0 | 1 | 0 | 5 | ||||||

6 | 1 | 6 | 4 | 0 | 9 | ||||

- | 0 | ||||||||

6 | 4 | ||||||||

- | 6 | 1 | |||||||

3 | 0 | ||||||||

- | 0 | ||||||||

3 | 0 | 9 | |||||||

- | 3 | 0 | 5 | ||||||

4 |

## So, what is the answer to 6409 divided by 61?

If you made it this far into the tutorial, well done! There are no more digits to move down from the dividend, which means we have completed the long division problem.

Your answer is the top number, and any remainder will be the bottom number. So, for 6409 divided by 61, the final solution is:

105

Remainder 4

### Cite, Link, or Reference This Page

If you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. We really appreciate your support!

<a href="http://visualfractions.com/calculator/long-division/what-is-6409-divided-by-61-using-long-division/">What is 6409 Divided by 61 Using Long Division?</a>

"What is 6409 Divided by 61 Using Long Division?".

*VisualFractions.com*. Accessed on August 1, 2024. http://visualfractions.com/calculator/long-division/what-is-6409-divided-by-61-using-long-division/."What is 6409 Divided by 61 Using Long Division?".

*VisualFractions.com*, http://visualfractions.com/calculator/long-division/what-is-6409-divided-by-61-using-long-division/. Accessed 1 August, 2024.What is 6409 Divided by 61 Using Long Division?. VisualFractions.com. Retrieved from http://visualfractions.com/calculator/long-division/what-is-6409-divided-by-61-using-long-division/.

## Extra calculations for you

Now you've learned the long division approach to 6409 divided by 61, here are a few other ways you might do the calculation:

- Using a calculator, if you typed in 6409 divided by 61, you'd get 105.0656.
- You could also express 6409/61 as a mixed fraction: 105 4/61
- If you look at the mixed fraction 105 4/61, you'll see that the numerator is the same as the remainder (4), the denominator is our original divisor (61), and the whole number is our final answer (105).

## Long Division Calculator

Enter another long division problem to solve

/

## Next Long Division Problem

Eager for more long division but can't be bothered to type two numbers into the calculator above? No worries. Here's the next problem for you to solve:

What is 6409 divided by 62 using long division?

## Random Long Division Problems

If you made it this far down the page then you must REALLY love long division problems, huh? Below are a bunch of randomly generated calculations for your long dividing pleasure:

What is 214 divided by 876 using long division?

What is 27 divided by 378 using long division?

What is 438 divided by 908 using long division?

What is 687 divided by 904 using long division?

What is 272 divided by 493 using long division?

What is 31 divided by 725 using long division?

What is 811 divided by 901 using long division?

What is 48 divided by 647 using long division?

What is 677 divided by 680 using long division?

What is 94 divided by 174 using long division?

What is 715 divided by 739 using long division?

What is 439 divided by 634 using long division?

What is 708 divided by 757 using long division?

What is 881 divided by 894 using long division?

What is 615 divided by 675 using long division?

What is 183 divided by 699 using long division?

What is 390 divided by 504 using long division?

What is 673 divided by 851 using long division?

What is 417 divided by 812 using long division?

What is 745 divided by 950 using long division?

What is 40 divided by 967 using long division?

What is 518 divided by 743 using long division?

What is 919 divided by 997 using long division?

What is 224 divided by 562 using long division?

What is 413 divided by 701 using long division?

What is 905 divided by 974 using long division?

What is 754 divided by 809 using long division?

What is 395 divided by 694 using long division?

What is 81 divided by 277 using long division?

What is 853 divided by 907 using long division?

What is 938 divided by 974 using long division?

What is 936 divided by 981 using long division?

What is 223 divided by 246 using long division?

What is 952 divided by 997 using long division?

What is 11 divided by 304 using long division?

What is 575 divided by 988 using long division?

What is 159 divided by 565 using long division?

What is 575 divided by 990 using long division?

What is 940 divided by 996 using long division?

What is 474 divided by 715 using long division?

What is 778 divided by 877 using long division?

What is 767 divided by 840 using long division?

What is 746 divided by 946 using long division?

What is 957 divided by 987 using long division?

What is 748 divided by 761 using long division?

What is 280 divided by 409 using long division?

What is 617 divided by 706 using long division?

What is 471 divided by 599 using long division?

What is 842 divided by 867 using long division?

What is 749 divided by 998 using long division?

What is 970 divided by 983 using long division?

What is 267 divided by 634 using long division?

What is 269 divided by 1000 using long division?

What is 171 divided by 537 using long division?

What is 789 divided by 853 using long division?

What is 58 divided by 192 using long division?

What is 336 divided by 939 using long division?

What is 191 divided by 916 using long division?

What is 204 divided by 933 using long division?

What is 499 divided by 714 using long division?

What is 424 divided by 950 using long division?

What is 335 divided by 697 using long division?

What is 507 divided by 835 using long division?

What is 381 divided by 901 using long division?

What is 881 divided by 955 using long division?

What is 166 divided by 678 using long division?

What is 781 divided by 848 using long division?

What is 670 divided by 712 using long division?

What is 415 divided by 560 using long division?

What is 197 divided by 665 using long division?

What is 247 divided by 822 using long division?

What is 427 divided by 777 using long division?

What is 216 divided by 905 using long division?

What is 96 divided by 894 using long division?

What is 790 divided by 906 using long division?

What is 441 divided by 678 using long division?

What is 207 divided by 260 using long division?

What is 394 divided by 640 using long division?

What is 107 divided by 658 using long division?

What is 15 divided by 661 using long division?

What is 370 divided by 386 using long division?

What is 896 divided by 904 using long division?

What is 39 divided by 534 using long division?

What is 145 divided by 908 using long division?

What is 735 divided by 958 using long division?

What is 867 divided by 915 using long division?

What is 267 divided by 773 using long division?

What is 29 divided by 322 using long division?

What is 85 divided by 134 using long division?

What is 780 divided by 939 using long division?

What is 771 divided by 989 using long division?

What is 552 divided by 791 using long division?

What is 223 divided by 600 using long division?

What is 381 divided by 383 using long division?

What is 109 divided by 914 using long division?

What is 390 divided by 524 using long division?

What is 817 divided by 919 using long division?

What is 518 divided by 622 using long division?

What is 481 divided by 504 using long division?

What is 859 divided by 863 using long division?

What is 818 divided by 978 using long division?