We're dividing 644176 by 74 
We want to figure out the number of times 644176 can be divided by 74.

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
If we take 0 away from 6, we end up with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 74

Let's proceed to step 2:
74 goes into 64 0 times with a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 64 after subtracting 0 from 64.
Take the next digit (4) from the dividend and append it to 64, then repeat: 644 / 74

Moving on to step 3:
The number 74 fits into 644 8 times, leaving a remainder of 52.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 592 from 644 to get 52.
Grab the next digit (1) from the dividend, add it to 52, then carry on: 521 / 74

On to step 4:
74 goes into 521 7 times with a remainder of 3.
The next digit of our result is 7. 
Result so far: 87.0
Subtracting 518 from 521 leaves us with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 74

Step 5:
37 divided by 74 is 0 with a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 870.0
Subtract 0 from 37 to get 37.
Append the next digit (6) from the dividend to 37 and continue with: 376 / 74

Going ahead to step 6:
74 can be fit into 376 5 times, resulting in a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 8705.0
The remainder is 6 after subtracting 370 from 376.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
If we divide 60 by 74, we get 0 and a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 8705.0
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.

Let's proceed to step 8:
74 goes into 600 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 8705.08
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.

Going ahead 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: 8705.081
Subtract 74 from 80 to 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.

Step 10:
60 divided by 74 is 0 with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 8705.081
If we take 0 away from 60, we end up 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.

Moving on to step 11:
74 goes into 600 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 8705.08108
If we subtract 592 from 600, we get 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 12:
If we divide 80 by 74, we get 1 and a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 8705.081081
Deduct 74 from 80 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 13:
When dividing 60 by 74, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 8705.081081
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 14:
600 divided by 74 is 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 8705.08108108
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.

The quotient of the division is 8705.08108108, and the remainder is 8e-09.