# What Is 105 Divided By 21 Using Long Division: Step-By-Step Guide

Using long division can be a challenge if you don’t know how to do it well. In this article, we will teach you how to calculate 105 divided by 21 using long division.

What you can expect to learn:

• How to use long division to calculate 105 divided by 21
• How to do the calculation faster so that you don’t spend too much time on it
• The main rules to apply when calculating any divisions using long division

Now that we have set our objectives for this exercise, let’s proceed to do it!

## Understanding the parts of the  105 divided by 21 calculation:

You need to know which numbers are involved here and in what capacity.

• The number that is being divided is 105 and is called the dividend.
• The second number that is being divided by is 21 and is called the divisor.
• The result that we shall get after doing the calculation is called the quotient.

Now that we understand the parts of our division, we can go ahead and start doing the maths.

## 105 divided by 21 step-by-step process:

### Step 1:

We begin by setting up our divisor on the left side and the dividend on the right side. Here is how:

21⟌105

### Step 2:

The divisor (21) goes into the first digit of the dividend (1), 0 times. Why?

It’s simple. You ask yourself, can you put 21 into the first digit 1? You can’t. So if you can’t, then the answer is 0.

So we put 0 at the top as below:

0

21⟌105

### Step 3:

We multiply the divisor (21) by the result (0) in the previous step.

21x 0 = 0

We put the 0 below:

0

21⟌105

0

### Step 4:

Now we have to subtract the result from the previous step (0) from the first digit of dividend.

1 – 0 = 1

We put the answer in our calculations as shown below:

0

21⟌105

–  0

⏤⏤

1

### Step 5:

Next, we need to pull the second and third digits of the dividend down as well. So it looks like this:

0

21⟌105

–  0

⏤⏤

105

### Step 6:

Since we were not able to put 21 into 1 in our step 2, we will now try to put 21, our divisor, into 10.

The question to ask is, how many times can 21 go into 10?

The diviser, 21, can go into 10, 0 time(s).

So we add 0 into the quotient as below:

00

21⟌105

– 0

⏤

105

### Step 7:

We multiply the divisor 21 by the result in the previous step.

21 x 0 = 0

Then we add the answer to our division process like shown below:

00

21⟌105

–  0

⏤

105

0

### Step 8:

Now we have to subtract our result in the step above from the number above it.

In this case 10 – 0 = 10

See below:

00

21⟌105

–  0

⏤⏤

105

– 0

⏤⏤
10

### Step 9:

Next, we need to pull the third digit of the dividend down as well. So it looks like this:

00

21⟌105

–  0

⏤⏤

105

– 0

⏤⏤
105

### Step 10:

Since we were not able to put 21 into 10, we will now try to put 21, our divisor, into 105.

The question to ask yourself is, how many times can 21 go into 105?

The diviser, 21, can go into 105, 5 time(s).

So we add 5 into the quotient as below:

005

21⟌105

–  0

⏤⏤

105

– 0

⏤⏤
105

### Step 11:

We multiply the divisor 21 by the result in the previous step.

21 x 5 = 105

Then we add the answer to our division process like shown below:

005

21⟌105

–  0

⏤⏤

105

– 0

⏤⏤
105
105

### Step 12:

Now we have to subtract our result in the step above from the number above it.

In this case 105 – 105 = 0

See below:

005

21⟌105

–  0

⏤⏤

105

– 0

⏤⏤
105
105
⏤⏤
0

## What is the answer to 105 divided by 21?

Because we don’t have any other digits to pull down from our dividend, the 0 at the end of the step above sums up the last step of our calculations.

The answer to 105 divided by 21 is the quotient, 5, that we got above.

## You can do 105 divided by 21 using other ways like:

• #### A calculator

If you typed in 105÷21 on a calculator you will get 5 as the result.

• #### Mixed Fraction

If you divided 105/21 and wanted the answer as a mixed fraction, your answer will be 5 0/21 where 0 is the remainder, 5 is the quotient and 21 is the divisor from our calculations in step 8 above.