5957690 ÷ 679 
Our goal is to divide 5957690 by 679.

Advancing to step 1:
679 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 679

Advancing to step 2:
679 goes into 59 0 times with a remainder of 59.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 59, we end up with 59.
Append the next digit (5) from the dividend to 59 and continue with: 595 / 679

On to step 3:
679 can be fit into 595 0 times, resulting in a remainder of 595.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 595 and we're left with 595.
Append the next digit (7) from the dividend to 595 and continue with: 5957 / 679

Moving on to step 4:
When dividing 5957 by 679, we get 8 with a remainder of 525.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 5432 from 5957 and we're left with 525.
Include the next digit (6) from the dividend after 525, then repeat: 5256 / 679

Going ahead to step 5:
If we divide 5256 by 679, we get 7 and a remainder of 503.
Use 7 as the next digit of our solution. 
Result so far: 87.0
Subtract 4753 from 5256 to get 503.
Include the next digit (9) from the dividend after 503, then repeat: 5039 / 679

On to step 6:
679 can be fit into 5039 7 times, resulting in a remainder of 286.
The number 7 becomes the next digit in our result. 
Result so far: 877.0
Subtracting 4753 from 5039 leaves us with 286.
Fetch the next digit (0) from the dividend, attach it to 286 and continue: 2860 / 679

On to step 7:
When dividing 2860 by 679, we get 4 with a remainder of 144.
The next digit of our result is 4. 
Result so far: 8774.0
Deduct 2716 from 2860 and we're left with 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

On to step 8:
679 can be fit into 1440 2 times, resulting in a remainder of 82.
Put 2 as the next digit of the answer. 
Result so far: 8774.2
If we subtract 1358 from 1440, we get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Let's proceed to step 9:
The number 679 fits into 820 1 times, leaving a remainder of 141.
Record the quotient 1 as the next digit in the result. 
Result so far: 8774.21
If we take 679 away from 820, we end up with 141.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1410, and continue the process.

On to step 10:
If we divide 1410 by 679, we get 2 and a remainder of 52.
The next digit of our result is 2. 
Result so far: 8774.212
Deduct 1358 from 1410 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.

Advancing to step 11:
679 goes into 520 0 times with a remainder of 520.
Write down 0 as next digit of the result. 
Result so far: 8774.212
The remainder is 520 after subtracting 0 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

Going ahead to step 12:
The number 679 fits into 5200 7 times, leaving a remainder of 447.
Write down 7 as next digit of the result. 
Result so far: 8774.21207
Deduct 4753 from 5200 and we're left with 447.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4470, and continue the process.

Moving on to step 13:
679 can be fit into 4470 6 times, resulting in a remainder of 396.
Put 6 as the next digit of the answer. 
Result so far: 8774.212076
Deduct 4074 from 4470 and we're left with 396.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3960, and continue the process.

Going ahead to step 14:
679 goes into 3960 5 times with a remainder of 565.
Put 5 as the next digit of the answer. 
Result so far: 8774.2120765
Subtracting 3395 from 3960 leaves us with 565.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5650, and continue the process.

Moving on to step 15:
5650 divided by 679 is 8 with a remainder of 218.
Write down 8 as next digit of the result. 
Result so far: 8774.21207658
Subtract 5432 from 5650 to get 218.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

The final result is 8774.21207658 with a remainder of 2.18e-07.