Let's divide 516825 by 76
Our goal is to divide 516825 by 76.

On to step 1:
The number 76 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 76

On to step 2:
When dividing 51 by 76, we get 0 with a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Take the next digit (6) from the dividend and append it to 51, then repeat: 516 / 76

Advancing to step 3:
If we divide 516 by 76, we get 6 and a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 456 from 516, we get 60.
Append the next digit (8) from the dividend to 60 and continue with: 608 / 76

On to step 4:
If we divide 608 by 76, we get 8 and a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 68.0
If we subtract 608 from 608, we get 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 76

Step 5:
If we divide 2 by 76, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 680.0
Subtract 0 from 2 to get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 76

On to step 6:
76 can be fit into 25 0 times, resulting in a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 6800.0
Subtract 0 from 25 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.

Step 7:
250 divided by 76 is 3 with a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 6800.3
Subtract 228 from 250 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
76 can be fit into 220 2 times, resulting in a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 6800.32
The remainder is 68 after subtracting 152 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 9:
When dividing 680 by 76, we get 8 with a remainder of 72.
Put 8 as the next digit of the answer. 
Result so far: 6800.328
If we take 608 away from 680, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 10:
76 goes into 720 9 times with a remainder of 36.
Use 9 as the next digit of our solution. 
Result so far: 6800.3289
Subtract 684 from 720 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 11:
The number 76 fits into 360 4 times, leaving a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 6800.32894
The remainder is 56 after subtracting 304 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 12:
If we divide 560 by 76, we get 7 and a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 6800.328947
If we subtract 532 from 560, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 13:
If we divide 280 by 76, we get 3 and a remainder of 52.
Put 3 as the next digit of the answer. 
Result so far: 6800.3289473
Deduct 228 from 280 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 14:
When dividing 520 by 76, we get 6 with a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 6800.32894736
Subtracting 456 from 520 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 6800.32894736, and the remainder is 6.4e-08.