Let's divide 637 by 63
We want to figure out the number of times 637 can be divided by 63.

Moving on to step 1:
The number 63 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 63

Going ahead to step 2:
The number 63 fits into 63 1 times, leaving a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 63 from 63, we get 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 63

On to step 3:
When dividing 7 by 63, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 7 after subtracting 0 from 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 4:
63 goes into 70 1 times with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 10.1
Deduct 63 from 70 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 5:
63 can be fit into 70 1 times, resulting in a remainder of 7.
The next digit of our result is 1. 
Result so far: 10.11
Deduct 63 from 70 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 10.11 with a balance of 0.007.