We look at the division of 137631 by 87 
Our goal is to divide 137631 by 87.

Going ahead to step 1:
If we divide 1 by 87, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 87

Moving on to step 2:
13 divided by 87 is 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Bring next digit (7) of the dividend behind the 13 and repeat the process: 137 / 87

Let's proceed to step 3:
87 goes into 137 1 times with a remainder of 50.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 87 away from 137, we end up with 50.
Fetch the next digit (6) from the dividend, attach it to 50 and continue: 506 / 87

Let's proceed to step 4:
When dividing 506 by 87, we get 5 with a remainder of 71.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtracting 435 from 506 leaves us with 71.
Bring next digit (3) of the dividend behind the 71 and repeat the process: 713 / 87

Going ahead to step 5:
713 divided by 87 is 8 with a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 158.0
Subtracting 696 from 713 leaves us with 17.
Append the next digit (1) from the dividend to 17 and continue with: 171 / 87

Going ahead to step 6:
87 can be fit into 171 1 times, resulting in a remainder of 84.
The number 1 becomes the next digit in our result. 
Result so far: 1581.0
The remainder is 84 after subtracting 87 from 171.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Advancing to step 7:
87 goes into 840 9 times with a remainder of 57.
Record the quotient 9 as the next digit in the result. 
Result so far: 1581.9
If we subtract 783 from 840, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 8:
87 can be fit into 570 6 times, resulting in a remainder of 48.
The next digit of our result is 6. 
Result so far: 1581.96
The remainder is 48 after subtracting 522 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 9:
When dividing 480 by 87, we get 5 with a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 1581.965
Deduct 435 from 480 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 10:
The number 87 fits into 450 5 times, leaving a remainder of 15.
The next digit of our result is 5. 
Result so far: 1581.9655
Deduct 435 from 450 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final result is 1581.9655 with a remainder of 0.00015.