We look at the division of 631038 by 61 
We're looking to find how many times 61 goes into 631038.

Moving on to step 1:
61 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 61

Moving on to step 2:
61 goes into 63 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 61 from 63 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 61

Going ahead to step 3:
21 divided by 61 is 0 with a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 21, we get 21.
Include the next digit (0) from the dividend after 21, then repeat: 210 / 61

On to step 4:
If we divide 210 by 61, we get 3 and a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 103.0
Subtract 183 from 210 to get 27.
Bring next digit (3) of the dividend behind the 27 and repeat the process: 273 / 61

Step 5:
The number 61 fits into 273 4 times, leaving a remainder of 29.
Use 4 as the next digit of our solution. 
Result so far: 1034.0
If we subtract 244 from 273, we get 29.
Bring next digit (8) of the dividend behind the 29 and repeat the process: 298 / 61

Going ahead to step 6:
298 divided by 61 is 4 with a remainder of 54.
The number 4 becomes the next digit in our result. 
Result so far: 10344.0
Subtracting 244 from 298 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 7:
When dividing 540 by 61, we get 8 with a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 10344.8
Deduct 488 from 540 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 8:
520 divided by 61 is 8 with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 10344.88
If we subtract 488 from 520, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 10344.88 and a remainder of 0.032.