Let's divide 671600 by 66
We want to figure out the number of times 671600 can be divided by 66.

Step 1:
66 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 66

Advancing to step 2:
66 can be fit into 67 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 66 from 67 and we're left with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 66

Moving on to step 3:
66 goes into 11 0 times with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 11 after subtracting 0 from 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 66

Advancing to step 4:
The number 66 fits into 116 1 times, leaving a remainder of 50.
The next digit of our result is 1. 
Result so far: 101.0
The remainder is 50 after subtracting 66 from 116.
Take the next digit (0) from the dividend and append it to 50, then repeat: 500 / 66

Moving on to step 5:
500 divided by 66 is 7 with a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 1017.0
If we take 462 away from 500, we end up with 38.
Fetch the next digit (0) from the dividend, attach it to 38 and continue: 380 / 66

Going ahead to step 6:
If we divide 380 by 66, we get 5 and a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 10175.0
Subtract 330 from 380 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.

Step 7:
If we divide 500 by 66, we get 7 and a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 10175.7
If we subtract 462 from 500, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 8:
66 goes into 380 5 times with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 10175.75
If we take 330 away from 380, we end up 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 9:
The number 66 fits into 500 7 times, leaving a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 10175.757
If we take 462 away from 500, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 10:
If we divide 380 by 66, we get 5 and a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 10175.7575
Deduct 330 from 380 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.

On to step 11:
When dividing 500 by 66, we get 7 with a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 10175.75757
If we take 462 away from 500, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 12:
If we divide 380 by 66, we get 5 and a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 10175.757575
If we take 330 away from 380, we end up 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:
If we divide 500 by 66, we get 7 and a remainder of 38.
The next digit of our result is 7. 
Result so far: 10175.7575757
Subtracting 462 from 500 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 14:
380 divided by 66 is 5 with a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 10175.75757575
Subtracting 330 from 380 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.

The quotient of the division is 10175.75757575, and the remainder is 5e-08.