We're dividing 589674 by 79 
We're looking to find how many times 79 goes into 589674.

On to step 1:
The number 79 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 79

Moving on to step 2:
When dividing 58 by 79, we get 0 with a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Append the next digit (9) from the dividend to 58 and continue with: 589 / 79

Let's proceed to step 3:
When dividing 589 by 79, we get 7 with a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 553 from 589 and we're left with 36.
Fetch the next digit (6) from the dividend, attach it to 36 and continue: 366 / 79

Let's proceed to step 4:
79 goes into 366 4 times with a remainder of 50.
Put 4 as the next digit of the answer. 
Result so far: 74.0
Deduct 316 from 366 and we're left with 50.
Take the next digit (7) from the dividend and append it to 50, then repeat: 507 / 79

Going ahead to step 5:
79 can be fit into 507 6 times, resulting in a remainder of 33.
The next digit of our result is 6. 
Result so far: 746.0
Subtracting 474 from 507 leaves us with 33.
Take the next digit (4) from the dividend and append it to 33, then repeat: 334 / 79

Advancing to step 6:
334 divided by 79 is 4 with a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 7464.0
Subtract 316 from 334 to 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.

Step 7:
79 can be fit into 180 2 times, resulting in a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 7464.2
The remainder is 22 after subtracting 158 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 8:
79 goes into 220 2 times with a remainder of 62.
Write down 2 as next digit of the result. 
Result so far: 7464.22
If we take 158 away from 220, we end up 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.

Our division results in 7464.22 with a remaining 0.062.