Let's divide 87543316 by 638
Our goal is to divide 87543316 by 638.

Going ahead to step 1:
638 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 638

On to step 2:
638 can be fit into 87 0 times, resulting in a remainder of 87.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 87 to get 87.
Append the next digit (5) from the dividend to 87 and continue with: 875 / 638

Moving on to step 3:
When dividing 875 by 638, we get 1 with a remainder of 237.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 638 from 875 to get 237.
Append the next digit (4) from the dividend to 237 and continue with: 2374 / 638

Moving on to step 4:
638 can be fit into 2374 3 times, resulting in a remainder of 460.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
The remainder is 460 after subtracting 1914 from 2374.
Bring next digit (3) of the dividend behind the 460 and repeat the process: 4603 / 638

Going ahead to step 5:
If we divide 4603 by 638, we get 7 and a remainder of 137.
The number 7 becomes the next digit in our result. 
Result so far: 137.0
Subtracting 4466 from 4603 leaves us with 137.
Bring next digit (3) of the dividend behind the 137 and repeat the process: 1373 / 638

On to step 6:
The number 638 fits into 1373 2 times, leaving a remainder of 97.
Use 2 as the next digit of our solution. 
Result so far: 1372.0
The remainder is 97 after subtracting 1276 from 1373.
Append the next digit (1) from the dividend to 97 and continue with: 971 / 638

Going ahead to step 7:
When dividing 971 by 638, we get 1 with a remainder of 333.
The next digit of our result is 1. 
Result so far: 13721.0
Subtracting 638 from 971 leaves us with 333.
Take the next digit (6) from the dividend and append it to 333, then repeat: 3336 / 638

Step 8:
3336 divided by 638 is 5 with a remainder of 146.
Record the quotient 5 as the next digit in the result. 
Result so far: 137215.0
If we take 3190 away from 3336, we end up with 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

On to step 9:
638 can be fit into 1460 2 times, resulting in a remainder of 184.
The next digit of our result is 2. 
Result so far: 137215.2
Subtract 1276 from 1460 to get 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

Moving on to step 10:
1840 divided by 638 is 2 with a remainder of 564.
The number 2 becomes the next digit in our result. 
Result so far: 137215.22
Deduct 1276 from 1840 and we're left with 564.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5640, and continue the process.

After the division, we end up with 137215.22 and a remainder of 0.564.