We're dividing 645219 by 74 
We're looking to find how many times 74 goes into 645219.

Advancing to step 1:
When dividing 6 by 74, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 74

Step 2:
74 goes into 64 0 times with a remainder of 64.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Bring next digit (5) of the dividend behind the 64 and repeat the process: 645 / 74

Step 3:
The number 74 fits into 645 8 times, leaving a remainder of 53.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtracting 592 from 645 leaves us with 53.
Grab the next digit (2) from the dividend, add it to 53, then carry on: 532 / 74

Advancing to step 4:
The number 74 fits into 532 7 times, leaving a remainder of 14.
The next digit of our result is 7. 
Result so far: 87.0
If we take 518 away from 532, we end up with 14.
Fetch the next digit (1) from the dividend, attach it to 14 and continue: 141 / 74

Step 5:
The number 74 fits into 141 1 times, leaving a remainder of 67.
The next digit of our result is 1. 
Result so far: 871.0
The remainder is 67 after subtracting 74 from 141.
Include the next digit (9) from the dividend after 67, then repeat: 679 / 74

Step 6:
679 divided by 74 is 9 with a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 8719.0
Subtracting 666 from 679 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
When dividing 130 by 74, we get 1 with a remainder of 56.
Put 1 as the next digit of the answer. 
Result so far: 8719.1
The remainder is 56 after subtracting 74 from 130.
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 8:
560 divided by 74 is 7 with a remainder of 42.
Use 7 as the next digit of our solution. 
Result so far: 8719.17
The remainder is 42 after subtracting 518 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 9:
74 can be fit into 420 5 times, resulting in a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 8719.175
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 10:
If we divide 500 by 74, we get 6 and a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 8719.1756
Subtracting 444 from 500 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.

On to step 11:
When dividing 560 by 74, we get 7 with a remainder of 42.
Use 7 as the next digit of our solution. 
Result so far: 8719.17567
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 12:
420 divided by 74 is 5 with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 8719.175675
Deduct 370 from 420 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 13:
When dividing 500 by 74, we get 6 with a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 8719.1756756
Subtract 444 from 500 to 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.

Let's proceed to step 14:
74 goes into 560 7 times with a remainder of 42.
The next digit of our result is 7. 
Result so far: 8719.17567567
If we take 518 away from 560, we end up 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.

The final outcome is 8719.17567567, with a leftover of 4.2e-08.