We divide 9635 by 55
We want to figure out the number of times 9635 can be divided by 55.

Let's proceed to step 1:
If we divide 9 by 55, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 55

Moving on to step 2:
96 divided by 55 is 1 with a remainder of 41.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 55 from 96, we get 41.
Append the next digit (3) from the dividend to 41 and continue with: 413 / 55

Advancing to step 3:
The number 55 fits into 413 7 times, leaving a remainder of 28.
The next digit of our result is 7. 
Result so far: 17.0
If we take 385 away from 413, we end up with 28.
Bring next digit (5) of the dividend behind the 28 and repeat the process: 285 / 55

Advancing to step 4:
When dividing 285 by 55, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 175.0
The remainder is 10 after subtracting 275 from 285.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 5:
The number 55 fits into 100 1 times, leaving a remainder of 45.
Record the quotient 1 as the next digit in the result. 
Result so far: 175.1
If we take 55 away from 100, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 6:
55 goes into 450 8 times with a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 175.18
Subtracting 440 from 450 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
The number 55 fits into 100 1 times, leaving a remainder of 45.
Put 1 as the next digit of the answer. 
Result so far: 175.181
Deduct 55 from 100 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 8:
When dividing 450 by 55, we get 8 with a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 175.1818
Subtracting 440 from 450 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
When dividing 100 by 55, we get 1 with a remainder of 45.
Record the quotient 1 as the next digit in the result. 
Result so far: 175.18181
If we take 55 away from 100, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 10:
If we divide 450 by 55, we get 8 and a remainder of 10.
The next digit of our result is 8. 
Result so far: 175.181818
Deduct 440 from 450 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
100 divided by 55 is 1 with a remainder of 45.
The number 1 becomes the next digit in our result. 
Result so far: 175.1818181
Deduct 55 from 100 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 12:
450 divided by 55 is 8 with a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 175.18181818
If we take 440 away from 450, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 175.18181818 with a remaining 1e-08.