We look at the division of 666597 by 74 
We're looking to find how many times 74 goes into 666597.

Advancing to step 1:
If we divide 6 by 74, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 74

Going ahead to step 2:
If we divide 66 by 74, we get 0 and a remainder of 66.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 66 and we're left with 66.
Bring next digit (6) of the dividend behind the 66 and repeat the process: 666 / 74

On to step 3:
74 goes into 666 9 times with a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtracting 666 from 666 leaves us with 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 74

Step 4:
74 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 90.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 74

Step 5:
74 can be fit into 59 0 times, resulting in a remainder of 59.
Use 0 as the next digit of our solution. 
Result so far: 900.0
If we take 0 away from 59, we end up with 59.
Grab the next digit (7) from the dividend, add it to 59, then carry on: 597 / 74

Let's proceed to step 6:
If we divide 597 by 74, we get 8 and a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 9008.0
Deduct 592 from 597 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
The number 74 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 9008.0
Deduct 0 from 50 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.

Step 8:
The number 74 fits into 500 6 times, leaving a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 9008.06
If we subtract 444 from 500, we 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.

Going ahead to step 9:
74 can be fit into 560 7 times, resulting in a remainder of 42.
The next digit of our result is 7. 
Result so far: 9008.067
Deduct 518 from 560 and we're left 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.

Moving on to step 10:
When dividing 420 by 74, we get 5 with a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 9008.0675
Subtracting 370 from 420 leaves us 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.

Let's proceed to step 11:
74 goes into 500 6 times with a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 9008.06756
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.

On 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: 9008.067567
Deduct 518 from 560 and we're left 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 13:
If we divide 420 by 74, we get 5 and a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 9008.0675675
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.

Advancing to step 14:
When dividing 500 by 74, we get 6 with a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 9008.06756756
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.

The quotient of the division is 9008.06756756, and the remainder is 5.6e-08.