We look at the division of 636600 by 74 
We want to divide 636600 by 74.

Let's proceed to step 1:
6 divided by 74 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 74

Moving on to step 2:
When dividing 63 by 74, we get 0 with a remainder of 63.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 63, we end up with 63.
Bring next digit (6) of the dividend behind the 63 and repeat the process: 636 / 74

Going ahead to step 3:
The number 74 fits into 636 8 times, leaving a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 592 from 636 and we're left with 44.
Bring next digit (6) of the dividend behind the 44 and repeat the process: 446 / 74

Moving on to step 4:
446 divided by 74 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 86.0
Deduct 444 from 446 and we're left with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 74

Step 5:
74 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 860.0
If we subtract 0 from 20, we get 20.
Grab the next digit (0) from the dividend, add it to 20, then carry on: 200 / 74

Let's proceed to step 6:
If we divide 200 by 74, we get 2 and a remainder of 52.
The next digit of our result is 2. 
Result so far: 8602.0
The remainder is 52 after subtracting 148 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 7:
520 divided by 74 is 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 8602.7
If we subtract 518 from 520, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
20 divided by 74 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 8602.7
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
74 can be fit into 200 2 times, resulting in a remainder of 52.
Use 2 as the next digit of our solution. 
Result so far: 8602.702
The remainder is 52 after subtracting 148 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 10:
When dividing 520 by 74, we get 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 8602.7027
The remainder is 2 after subtracting 518 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 11:
If we divide 20 by 74, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 8602.7027
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 12:
The number 74 fits into 200 2 times, leaving a remainder of 52.
Use 2 as the next digit of our solution. 
Result so far: 8602.702702
Subtracting 148 from 200 leaves us 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.

Moving on to step 13:
520 divided by 74 is 7 with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 8602.7027027
Deduct 518 from 520 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
If we divide 20 by 74, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 8602.7027027
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 8602.7027027 with a remainder of 2e-08.