Let's divide 9635 by 66
We want to divide 9635 by 66.

Let's proceed to step 1:
9 divided by 66 is 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 66

Advancing to step 2:
The number 66 fits into 96 1 times, leaving a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 66 from 96 and we're left with 30.
Fetch the next digit (3) from the dividend, attach it to 30 and continue: 303 / 66

Step 3:
66 goes into 303 4 times with a remainder of 39.
Put 4 as the next digit of the answer. 
Result so far: 14.0
Deduct 264 from 303 and we're left with 39.
Fetch the next digit (5) from the dividend, attach it to 39 and continue: 395 / 66

On to step 4:
When dividing 395 by 66, we get 5 with a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 145.0
If we take 330 away from 395, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 5:
66 goes into 650 9 times with a remainder of 56.
The number 9 becomes the next digit in our result. 
Result so far: 145.9
Deduct 594 from 650 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 6:
66 can be fit into 560 8 times, resulting in a remainder of 32.
The next digit of our result is 8. 
Result so far: 145.98
The remainder is 32 after subtracting 528 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 7:
320 divided by 66 is 4 with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 145.984
Subtracting 264 from 320 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 8:
66 can be fit into 560 8 times, resulting in a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 145.9848
If we take 528 away from 560, we end up 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.

Step 9:
If we divide 320 by 66, we get 4 and a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 145.98484
If we subtract 264 from 320, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 10:
When dividing 560 by 66, we get 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 145.984848
Subtract 528 from 560 to 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.

Advancing to step 11:
320 divided by 66 is 4 with a remainder of 56.
The next digit of our result is 4. 
Result so far: 145.9848484
Subtracting 264 from 320 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 12:
66 goes into 560 8 times with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 145.98484848
Deduct 528 from 560 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.

Our division results in 145.98484848 with a remaining 3.2e-08.