# What is 406 divided by 502 using long division?

Confused by long division? By the end of this article you'll be able to divide 406 by 502 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 406 divided by 502 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, 406, is called the dividend.
- The second number, 502 is called the divisor.

What we'll do here is break down each step of the long division process for 406 divided by 502 and explain each of them so you understand exactly what is going on.

## 406 divided by 502 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:

5 | 0 | 2 | 4 | 0 | 6 |

### Step 2

We can work out that the divisor (502) goes into the first digit of the dividend (4), 0 time(s). Now we know that, we can put 0 at the top:

0 | ||||||||||

5 | 0 | 2 | 4 | 0 | 6 |

### Step 3

If we multiply the divisor by the result in the previous step (502 x 0 = 0), we can now add that answer below the dividend:

0 | ||||||||||

5 | 0 | 2 | 4 | 0 | 6 | |||||

0 |

### Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (4 - 0 = 4) and write that answer below:

0 | ||||||||||

5 | 0 | 2 | 4 | 0 | 6 | |||||

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

4 |

### Step 5

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

0 | ||||||||||

5 | 0 | 2 | 4 | 0 | 6 | |||||

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

4 | 0 |

### Step 6

The divisor (502) goes into the bottom number (40), 0 time(s), so we can put 0 on top:

0 | 0 | |||||||||

5 | 0 | 2 | 4 | 0 | 6 | |||||

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

4 | 0 |

### Step 7

If we multiply the divisor by the result in the previous step (502 x 0 = 0), we can now add that answer below the dividend:

0 | 0 | |||||||||

5 | 0 | 2 | 4 | 0 | 6 | |||||

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

4 | 0 | |||||||||

0 |

### Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (40 - 0 = 40) and write that answer below:

0 | 0 | |||||||||

5 | 0 | 2 | 4 | 0 | 6 | |||||

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

4 | 0 | |||||||||

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

4 | 0 |

### Step 9

Move the third digit of the dividend (6) down like so:

0 | 0 | |||||||||

5 | 0 | 2 | 4 | 0 | 6 | |||||

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

4 | 0 | |||||||||

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

4 | 0 | 6 |

### Step 10

The divisor (502) goes into the bottom number (406), 0 time(s), so we can put 0 on top:

0 | 0 | 0 | ||||||||

5 | 0 | 2 | 4 | 0 | 6 | |||||

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

4 | 0 | |||||||||

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

4 | 0 | 6 |

### Step 11

If we multiply the divisor by the result in the previous step (502 x 0 = 0), we can now add that answer below the dividend:

0 | 0 | 0 | ||||||||

5 | 0 | 2 | 4 | 0 | 6 | |||||

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

4 | 0 | |||||||||

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

4 | 0 | 6 | ||||||||

0 |

### Step 12

Next, we will subtract the result from the previous step from the fourth digit of the dividend (406 - 0 = 406) and write that answer below:

0 | 0 | 0 | ||||||||

5 | 0 | 2 | 4 | 0 | 6 | |||||

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

4 | 0 | |||||||||

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

4 | 0 | 6 | ||||||||

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

4 | 0 | 6 |

## So, what is the answer to 406 divided by 502?

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 406 divided by 502, the final solution is:

0

Remainder 406

### 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="https://visualfractions.com/calculator/long-division/what-is-406-divided-by-502-using-long-division/">What is 406 Divided by 502 Using Long Division?</a>

"What is 406 Divided by 502 Using Long Division?".

*VisualFractions.com*. Accessed on September 19, 2021. https://visualfractions.com/calculator/long-division/what-is-406-divided-by-502-using-long-division/."What is 406 Divided by 502 Using Long Division?".

*VisualFractions.com*, https://visualfractions.com/calculator/long-division/what-is-406-divided-by-502-using-long-division/. Accessed 19 September, 2021.What is 406 Divided by 502 Using Long Division?. VisualFractions.com. Retrieved from https://visualfractions.com/calculator/long-division/what-is-406-divided-by-502-using-long-division/.

## Extra calculations for you

Now you've learned the long division approach to 406 divided by 502, here are a few other ways you might do the calculation:

- Using a calculator, if you typed in 406 divided by 502, you'd get 0.8088.
- You could also express 406/502 as a mixed fraction: 0 406/502
- If you look at the mixed fraction 0 406/502, you'll see that the numerator is the same as the remainder (406), the denominator is our original divisor (502), and the whole number is our final answer (0).

## 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 406 divided by 503 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: