# What Is 315 Divided By 45 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 315 divided by 45 using long division.

What you can expect to learn:

• How to use long division to calculate 315 divided by 45
• 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  315 divided by 45 calculation:

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

• The number that is being divided is 315 and is called the dividend.
• The second number that is being divided by is 45 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.

## 315 divided by 45 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:

45⟌315

### Step 2:

The divisor (45) goes into the first digit of the dividend (3), 0 times. Why?

It’s simple. You ask yourself, can you put 45 into the first digit 3? You can’t. So if you can’t, then the answer is 0.

So we put 0 at the top as below:

0

45⟌315

### Step 3:

We multiply the divisor (45) by the result (0) in the previous step.

45x 0 = 0

We put the 0 below:

0

45⟌315

0

### Step 4:

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

3 – 0 = 3

We put the answer in our calculations as shown below:

0

45⟌315

–  0

⏤⏤

3

### Step 5:

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

0

45⟌315

–  0

⏤⏤

315

### Step 6:

Since we were not able to put 45 into 3 in our step 2, we will now try to put 45, our divisor, into 31.

The question to ask is, how many times can 45 go into 31?

The diviser, 45, can go into 31, 0 time(s).

So we add 0 into the quotient as below:

00

45⟌315

– 0

⏤

315

### Step 7:

We multiply the divisor 45 by the result in the previous step.

45 x 0 = 0

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

00

45⟌315

–  0

⏤

315

0

### Step 8:

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

In this case 31 – 0 = 31

See below:

00

45⟌315

–  0

⏤⏤

315

– 0

⏤⏤
31

### Step 9:

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

00

45⟌315

–  0

⏤⏤

315

– 0

⏤⏤
315

### Step 10:

Since we were not able to put 45 into 31, we will now try to put 45, our divisor, into 315.

The question to ask yourself is, how many times can 45 go into 315?

The diviser, 45, can go into 315, 7 time(s).

So we add 7 into the quotient as below:

005

45⟌315

–  0

⏤⏤

315

– 0

⏤⏤
315

### Step 11:

We multiply the divisor 45 by the result in the previous step.

45 x 7 = 315

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

005

45⟌315

–  0

⏤⏤

315

– 0

⏤⏤
315
315

### Step 12:

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

In this case 315 – 315 = 0

See below:

005

45⟌315

–  0

⏤⏤

315

– 0

⏤⏤
315
315
⏤⏤
0

## What is the answer to 315 divided by 45?

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 315 divided by 45 is the quotient, 7, that we got above.

## You can do 315 divided by 45 using other ways like:

• #### A calculator

If you typed in 315÷45 on a calculator you will get 7 as the result.

• #### Mixed Fraction

If you divided 315/45 and wanted the answer as a mixed fraction, your answer will be 7 0/45 where 0 is the remainder, 7 is the quotient and 45 is the divisor from our calculations in step 8 above.