We look at the division of 645100 by 74 
We want to figure out the number of times 645100 can be divided by 74.

Going ahead to step 1:
When dividing 6 by 74, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 74

Moving on to step 2:
74 goes into 64 0 times with a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Append the next digit (5) from the dividend to 64 and continue with: 645 / 74

On to step 3:
645 divided by 74 is 8 with a remainder of 53.
The next digit of our result is 8. 
Result so far: 8.0
If we take 592 away from 645, we end up with 53.
Fetch the next digit (1) from the dividend, attach it to 53 and continue: 531 / 74

On to step 4:
If we divide 531 by 74, we get 7 and a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 87.0
If we take 518 away from 531, we end up with 13.
Bring next digit (0) of the dividend behind the 13 and repeat the process: 130 / 74

Advancing to step 5:
If we divide 130 by 74, we get 1 and a remainder of 56.
Write down 1 as next digit of the result. 
Result so far: 871.0
If we take 74 away from 130, we end up with 56.
Bring next digit (0) of the dividend behind the 56 and repeat the process: 560 / 74

Going ahead to step 6:
74 can be fit into 560 7 times, resulting in a remainder of 42.
Record the quotient 7 as the next digit in the result. 
Result so far: 8717.0
Subtracting 518 from 560 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 7:
If we divide 420 by 74, we get 5 and a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 8717.5
If we subtract 370 from 420, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 8:
When dividing 500 by 74, we get 6 with a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 8717.56
Deduct 444 from 500 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.

On to step 9:
74 goes into 560 7 times with a remainder of 42.
The next digit of our result is 7. 
Result so far: 8717.567
If we subtract 518 from 560, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 10:
420 divided by 74 is 5 with a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 8717.5675
Subtract 370 from 420 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 11:
When dividing 500 by 74, we get 6 with a remainder of 56.
Use 6 as the next digit of our solution. 
Result so far: 8717.56756
If we take 444 away from 500, we end up 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.

Advancing to step 12:
When dividing 560 by 74, we get 7 with a remainder of 42.
The next digit of our result is 7. 
Result so far: 8717.567567
If we subtract 518 from 560, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 13:
74 goes into 420 5 times with a remainder of 50.
The next digit of our result is 5. 
Result so far: 8717.5675675
Subtract 370 from 420 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 14:
500 divided by 74 is 6 with a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 8717.56756756
The remainder is 56 after subtracting 444 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The final result is 8717.56756756 with a remainder of 5.6e-08.