We look at the division of 586556 by 79 
Let's see how many times 79 fits into 586556.

On to step 1:
79 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 79

Let's proceed to step 2:
If we divide 58 by 79, we get 0 and a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Take the next digit (6) from the dividend and append it to 58, then repeat: 586 / 79

Advancing to step 3:
79 can be fit into 586 7 times, resulting in a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 553 from 586 to get 33.
Include the next digit (5) from the dividend after 33, then repeat: 335 / 79

Advancing to step 4:
79 goes into 335 4 times with a remainder of 19.
The next digit of our result is 4. 
Result so far: 74.0
Subtract 316 from 335 to get 19.
Include the next digit (5) from the dividend after 19, then repeat: 195 / 79

On to step 5:
195 divided by 79 is 2 with a remainder of 37.
Use 2 as the next digit of our solution. 
Result so far: 742.0
Subtracting 158 from 195 leaves us with 37.
Bring next digit (6) of the dividend behind the 37 and repeat the process: 376 / 79

Step 6:
79 can be fit into 376 4 times, resulting in a remainder of 60.
The next digit of our result is 4. 
Result so far: 7424.0
Subtracting 316 from 376 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 7:
If we divide 600 by 79, we get 7 and a remainder of 47.
Put 7 as the next digit of the answer. 
Result so far: 7424.7
The remainder is 47 after subtracting 553 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 8:
79 goes into 470 5 times with a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 7424.75
If we take 395 away from 470, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 9:
If we divide 750 by 79, we get 9 and a remainder of 39.
Use 9 as the next digit of our solution. 
Result so far: 7424.759
If we subtract 711 from 750, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 10:
If we divide 390 by 79, we get 4 and a remainder of 74.
The number 4 becomes the next digit in our result. 
Result so far: 7424.7594
If we take 316 away from 390, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 11:
The number 79 fits into 740 9 times, leaving a remainder of 29.
Record the quotient 9 as the next digit in the result. 
Result so far: 7424.75949
If we take 711 away from 740, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 12:
The number 79 fits into 290 3 times, leaving a remainder of 53.
Put 3 as the next digit of the answer. 
Result so far: 7424.759493
If we subtract 237 from 290, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 13:
If we divide 530 by 79, we get 6 and a remainder of 56.
Put 6 as the next digit of the answer. 
Result so far: 7424.7594936
If we subtract 474 from 530, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 14:
When dividing 560 by 79, we get 7 with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 7424.75949367
The remainder is 7 after subtracting 553 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The quotient of the division is 7424.75949367, and the remainder is 7e-09.