We look at the division of 645878 by 74 
We're looking to find how many times 74 goes into 645878.

Let's proceed to step 1:
6 divided by 74 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 74

Advancing to step 2:
If we divide 64 by 74, we get 0 and a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Include the next digit (5) from the dividend after 64, then repeat: 645 / 74

On to step 3:
74 can be fit into 645 8 times, resulting in a remainder of 53.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 592 from 645 to get 53.
Bring next digit (8) of the dividend behind the 53 and repeat the process: 538 / 74

Step 4:
When dividing 538 by 74, we get 7 with a remainder of 20.
Write down 7 as next digit of the result. 
Result so far: 87.0
Subtract 518 from 538 to get 20.
Append the next digit (7) from the dividend to 20 and continue with: 207 / 74

Step 5:
207 divided by 74 is 2 with a remainder of 59.
The number 2 becomes the next digit in our result. 
Result so far: 872.0
Subtract 148 from 207 to get 59.
Grab the next digit (8) from the dividend, add it to 59, then carry on: 598 / 74

Going ahead to step 6:
If we divide 598 by 74, we get 8 and a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 8728.0
If we subtract 592 from 598, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
74 can be fit into 60 0 times, resulting in a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 8728.0
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 8:
If we divide 600 by 74, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 8728.08
Subtracting 592 from 600 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
When dividing 80 by 74, we get 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 8728.081
If we subtract 74 from 80, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 10:
If we divide 60 by 74, we get 0 and a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 8728.081
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 11:
74 goes into 600 8 times with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 8728.08108
If we take 592 away from 600, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 12:
If we divide 80 by 74, we get 1 and a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 8728.081081
The remainder is 6 after subtracting 74 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
The number 74 fits into 60 0 times, leaving a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 8728.081081
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 14:
74 goes into 600 8 times with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 8728.08108108
Deduct 592 from 600 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 8728.08108108 with a remainder of 8e-09.