We're dividing 589800 by 79 
We want to figure out the number of times 589800 can be divided by 79.

Step 1:
79 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 79

Going ahead 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
If we take 0 away from 58, we end up with 58.
Include the next digit (9) from the dividend after 58, then repeat: 589 / 79

Advancing to step 3:
The number 79 fits into 589 7 times, leaving a remainder of 36.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 553 from 589 leaves us with 36.
Include the next digit (8) from the dividend after 36, then repeat: 368 / 79

On to step 4:
79 can be fit into 368 4 times, resulting in a remainder of 52.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
If we take 316 away from 368, we end up with 52.
Bring next digit (0) of the dividend behind the 52 and repeat the process: 520 / 79

Step 5:
520 divided by 79 is 6 with a remainder of 46.
The number 6 becomes the next digit in our result. 
Result so far: 746.0
If we subtract 474 from 520, we get 46.
Fetch the next digit (0) from the dividend, attach it to 46 and continue: 460 / 79

Advancing to step 6:
The number 79 fits into 460 5 times, leaving a remainder of 65.
The next digit of our result is 5. 
Result so far: 7465.0
Subtracting 395 from 460 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 7:
If we divide 650 by 79, we get 8 and a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 7465.8
If we subtract 632 from 650, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 8:
The number 79 fits into 180 2 times, leaving a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 7465.82
Subtract 158 from 180 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 9:
The number 79 fits into 220 2 times, leaving a remainder of 62.
The number 2 becomes the next digit in our result. 
Result so far: 7465.822
Deduct 158 from 220 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

The quotient of the division is 7465.822, and the remainder is 0.0062.