5789425 ÷ 679 
Our goal is to divide 5789425 by 679.

Advancing to step 1:
679 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 679

Going ahead to step 2:
57 divided by 679 is 0 with a remainder of 57.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 57 leaves us with 57.
Grab the next digit (8) from the dividend, add it to 57, then carry on: 578 / 679

Step 3:
The number 679 fits into 578 0 times, leaving a remainder of 578.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 578 after subtracting 0 from 578.
Take the next digit (9) from the dividend and append it to 578, then repeat: 5789 / 679

Going ahead to step 4:
679 can be fit into 5789 8 times, resulting in a remainder of 357.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 5432 away from 5789, we end up with 357.
Include the next digit (4) from the dividend after 357, then repeat: 3574 / 679

On to step 5:
679 can be fit into 3574 5 times, resulting in a remainder of 179.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
If we subtract 3395 from 3574, we get 179.
Append the next digit (2) from the dividend to 179 and continue with: 1792 / 679

Advancing to step 6:
If we divide 1792 by 679, we get 2 and a remainder of 434.
Put 2 as the next digit of the answer. 
Result so far: 852.0
Subtract 1358 from 1792 to get 434.
Append the next digit (5) from the dividend to 434 and continue with: 4345 / 679

Advancing to step 7:
If we divide 4345 by 679, we get 6 and a remainder of 271.
The number 6 becomes the next digit in our result. 
Result so far: 8526.0
The remainder is 271 after subtracting 4074 from 4345.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2710, and continue the process.

Going ahead to step 8:
679 goes into 2710 3 times with a remainder of 673.
The next digit of our result is 3. 
Result so far: 8526.3
Subtracting 2037 from 2710 leaves us with 673.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6730, and continue the process.

On to step 9:
6730 divided by 679 is 9 with a remainder of 619.
The number 9 becomes the next digit in our result. 
Result so far: 8526.39
Deduct 6111 from 6730 and we're left with 619.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6190, and continue the process.

Let's proceed to step 10:
The number 679 fits into 6190 9 times, leaving a remainder of 79.
Put 9 as the next digit of the answer. 
Result so far: 8526.399
Subtract 6111 from 6190 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

The final result is 8526.399 with a remainder of 0.0079.