Let's divide 632635 by 87
We're looking to find how many times 87 goes into 632635.

On to step 1:
87 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 87

On to step 2:
If we divide 63 by 87, we get 0 and a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 63, we end up with 63.
Grab the next digit (2) from the dividend, add it to 63, then carry on: 632 / 87

Let's proceed to step 3:
When dividing 632 by 87, we get 7 with a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 609 from 632, we get 23.
Grab the next digit (6) from the dividend, add it to 23, then carry on: 236 / 87

Going ahead to step 4:
87 goes into 236 2 times with a remainder of 62.
Write down 2 as next digit of the result. 
Result so far: 72.0
The remainder is 62 after subtracting 174 from 236.
Append the next digit (3) from the dividend to 62 and continue with: 623 / 87

Moving on to step 5:
The number 87 fits into 623 7 times, leaving a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 727.0
The remainder is 14 after subtracting 609 from 623.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 87

On to step 6:
145 divided by 87 is 1 with a remainder of 58.
Write down 1 as next digit of the result. 
Result so far: 7271.0
If we take 87 away from 145, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 7:
The number 87 fits into 580 6 times, leaving a remainder of 58.
Put 6 as the next digit of the answer. 
Result so far: 7271.6
Deduct 522 from 580 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 8:
87 can be fit into 580 6 times, resulting in a remainder of 58.
Put 6 as the next digit of the answer. 
Result so far: 7271.66
If we take 522 away from 580, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Our division results in 7271.66 with a remaining 0.058.