We divide 635918 by 61
We want to figure out the number of times 635918 can be divided by 61.

Step 1:
6 divided by 61 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 61

Moving on to step 2:
When dividing 63 by 61, we get 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 61 from 63 and we're left with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 61

Going ahead to step 3:
61 goes into 25 0 times with a remainder of 25.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 25 to get 25.
Bring next digit (9) of the dividend behind the 25 and repeat the process: 259 / 61

On to step 4:
When dividing 259 by 61, we get 4 with a remainder of 15.
Write down 4 as next digit of the result. 
Result so far: 104.0
Subtracting 244 from 259 leaves us with 15.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 61

On to step 5:
61 goes into 151 2 times with a remainder of 29.
Write down 2 as next digit of the result. 
Result so far: 1042.0
If we take 122 away from 151, we end up with 29.
Append the next digit (8) from the dividend to 29 and continue with: 298 / 61

Advancing to step 6:
298 divided by 61 is 4 with a remainder of 54.
Put 4 as the next digit of the answer. 
Result so far: 10424.0
Deduct 244 from 298 and we're left 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.

Going ahead to step 7:
When dividing 540 by 61, we get 8 with a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 10424.8
If we subtract 488 from 540, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 8:
61 goes into 520 8 times with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 10424.88
Deduct 488 from 520 and we're left with 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 10424.88 and a remainder of 0.032.