We're dividing 977797 by 75 
We're looking to find how many times 75 goes into 977797.

Going ahead to step 1:
The number 75 fits into 9 0 times, leaving a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 75

Moving on to step 2:
If we divide 97 by 75, we get 1 and a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 75 from 97, we get 22.
Append the next digit (7) from the dividend to 22 and continue with: 227 / 75

On to step 3:
227 divided by 75 is 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 13.0
The remainder is 2 after subtracting 225 from 227.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 75

Step 4:
27 divided by 75 is 0 with a remainder of 27.
Write down 0 as next digit of the result. 
Result so far: 130.0
If we subtract 0 from 27, we get 27.
Bring next digit (9) of the dividend behind the 27 and repeat the process: 279 / 75

Advancing to step 5:
If we divide 279 by 75, we get 3 and a remainder of 54.
Use 3 as the next digit of our solution. 
Result so far: 1303.0
If we take 225 away from 279, we end up with 54.
Take the next digit (7) from the dividend and append it to 54, then repeat: 547 / 75

Going ahead to step 6:
75 goes into 547 7 times with a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 13037.0
The remainder is 22 after subtracting 525 from 547.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
The number 75 fits into 220 2 times, leaving a remainder of 70.
The number 2 becomes the next digit in our result. 
Result so far: 13037.2
Subtracting 150 from 220 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 8:
75 can be fit into 700 9 times, resulting in a remainder of 25.
Write down 9 as next digit of the result. 
Result so far: 13037.29
If we subtract 675 from 700, we 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.

Advancing to step 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 13037.293
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 10:
75 goes into 250 3 times with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 13037.2933
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 13037.2933 with a remaining 0.00025.