We look at the division of 7568400 by 953 
Our goal is to divide 7568400 by 953.

Let's proceed to step 1:
953 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 953

Step 2:
953 goes into 75 0 times with a remainder of 75.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 75 to get 75.
Fetch the next digit (6) from the dividend, attach it to 75 and continue: 756 / 953

Let's proceed to step 3:
If we divide 756 by 953, we get 0 and a remainder of 756.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 756 after subtracting 0 from 756.
Append the next digit (8) from the dividend to 756 and continue with: 7568 / 953

Moving on to step 4:
The number 953 fits into 7568 7 times, leaving a remainder of 897.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 6671 from 7568 to get 897.
Bring next digit (4) of the dividend behind the 897 and repeat the process: 8974 / 953

Going ahead to step 5:
8974 divided by 953 is 9 with a remainder of 397.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
The remainder is 397 after subtracting 8577 from 8974.
Fetch the next digit (0) from the dividend, attach it to 397 and continue: 3970 / 953

Moving on to step 6:
3970 divided by 953 is 4 with a remainder of 158.
Write down 4 as next digit of the result. 
Result so far: 794.0
Subtract 3812 from 3970 to get 158.
Append the next digit (0) from the dividend to 158 and continue with: 1580 / 953

Going ahead to step 7:
953 can be fit into 1580 1 times, resulting in a remainder of 627.
Write down 1 as next digit of the result. 
Result so far: 7941.0
The remainder is 627 after subtracting 953 from 1580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6270, and continue the process.

Let's proceed to step 8:
When dividing 6270 by 953, we get 6 with a remainder of 552.
Write down 6 as next digit of the result. 
Result so far: 7941.6
The remainder is 552 after subtracting 5718 from 6270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5520, and continue the process.

Going ahead to step 9:
When dividing 5520 by 953, we get 5 with a remainder of 755.
Record the quotient 5 as the next digit in the result. 
Result so far: 7941.65
If we take 4765 away from 5520, we end up with 755.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7550, and continue the process.

Going ahead to step 10:
953 can be fit into 7550 7 times, resulting in a remainder of 879.
Write down 7 as next digit of the result. 
Result so far: 7941.657
If we subtract 6671 from 7550, we get 879.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8790, and continue the process.

Advancing to step 11:
The number 953 fits into 8790 9 times, leaving a remainder of 213.
The number 9 becomes the next digit in our result. 
Result so far: 7941.6579
If we subtract 8577 from 8790, we get 213.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2130, and continue the process.

Advancing to step 12:
The number 953 fits into 2130 2 times, leaving a remainder of 224.
Put 2 as the next digit of the answer. 
Result so far: 7941.65792
Deduct 1906 from 2130 and we're left with 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

Step 13:
953 can be fit into 2240 2 times, resulting in a remainder of 334.
Use 2 as the next digit of our solution. 
Result so far: 7941.657922
Subtracting 1906 from 2240 leaves us with 334.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3340, and continue the process.

After the division, we end up with 7941.657922 and a remainder of 3.34e-05.