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 147 divided by 49 using long division.
What you can expect to learn:
- How to use long division to calculate 147 divided by 49
- 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 147 divided by 49 calculation:
You need to know which numbers are involved here and in what capacity.
- The number that is being divided is 147 and is called the dividend.
- The second number that is being divided by is 49 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.
147 divided by 49 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:
49⟌147
Step 2:
The divisor (49) goes into the first digit of the dividend (1), 0 times. Why?
It’s simple. You ask yourself, can you put 49 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
49⟌147
Step 3:
We multiply the divisor (49) by the result (0) in the previous step.
49x 0 = 0
We put the 0 below:
0
49⟌147
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
49⟌147
– 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
49⟌147
– 0
⏤⏤
147
Step 6:
Since we were not able to put 49 into 1 in our step 2, we will now try to put 49, our divisor, into 14.
The question to ask is, how many times can 49 go into 14?
The diviser, 49, can go into 14, 0 time(s).
So we add 0 into the quotient as below:
00
49⟌147
– 0
⏤
147
Step 7:
We multiply the divisor 49 by the result in the previous step.
49 x 0 = 0
Then we add the answer to our division process like shown below:
00
49⟌147
– 0
⏤
147
0
Step 8:
Now we have to subtract our result in the step above from the number above it.
In this case 14 – 0 = 14
See below:
00
49⟌147
– 0
⏤⏤
147
– 0
⏤⏤
14
Step 9:
Next, we need to pull the third digit of the dividend down as well. So it looks like this:
00
49⟌147
– 0
⏤⏤
147
– 0
⏤⏤
147
Step 10:
Since we were not able to put 49 into 14, we will now try to put 49, our divisor, into 147.
The question to ask yourself is, how many times can 49 go into 147?
The diviser, 49, can go into 147, 3 time(s).
So we add 3 into the quotient as below:
005
49⟌147
– 0
⏤⏤
147
– 0
⏤⏤
147
Step 11:
We multiply the divisor 49 by the result in the previous step.
49 x 3 = 147
Then we add the answer to our division process like shown below:
005
49⟌147
– 0
⏤⏤
147
– 0
⏤⏤
147
147
Step 12:
Now we have to subtract our result in the step above from the number above it.
In this case 147 – 147 = 0
See below:
005
49⟌147
– 0
⏤⏤
147
– 0
⏤⏤
147
147
⏤⏤
0
What is the answer to 147 divided by 49?
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 147 divided by 49 is the quotient, 3, that we got above.
You can do 147 divided by 49 using other ways like:
-
A calculator
If you typed in 147÷49 on a calculator you will get 3 as the result.
-
Mixed Fraction
If you divided 147/49 and wanted the answer as a mixed fraction, your answer will be 3 0/49 where 0 is the remainder, 3 is the quotient and 49 is the divisor from our calculations in step 8 above.