Let's divide 676621 by 75
We want to figure out the number of times 676621 can be divided by 75.

Moving on to step 1:
If we divide 6 by 75, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 75

On to step 2:
When dividing 67 by 75, we get 0 with a remainder of 67.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 67 after subtracting 0 from 67.
Append the next digit (6) from the dividend to 67 and continue with: 676 / 75

Moving on to step 3:
676 divided by 75 is 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 9.0
Subtract 675 from 676 to get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 75

On to step 4:
75 goes into 16 0 times with a remainder of 16.
The next digit of our result is 0. 
Result so far: 90.0
The remainder is 16 after subtracting 0 from 16.
Append the next digit (2) from the dividend to 16 and continue with: 162 / 75

Moving on to step 5:
When dividing 162 by 75, we get 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 902.0
Deduct 150 from 162 and we're left with 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 75

Moving on to step 6:
If we divide 121 by 75, we get 1 and a remainder of 46.
The next digit of our result is 1. 
Result so far: 9021.0
If we take 75 away from 121, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 7:
If we divide 460 by 75, we get 6 and a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 9021.6
The remainder is 10 after subtracting 450 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
75 goes into 100 1 times with a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 9021.61
The remainder is 25 after subtracting 75 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
The next digit of our result is 3. 
Result so far: 9021.613
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 10:
When dividing 250 by 75, we get 3 with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 9021.6133
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The quotient of the division is 9021.6133, and the remainder is 0.00025.