589419 ÷ 79 
We're looking to find how many times 79 goes into 589419.

Step 1:
79 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 79

Advancing to step 2:
If we divide 58 by 79, we get 0 and a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Append the next digit (9) from the dividend to 58 and continue with: 589 / 79

Moving on to step 3:
589 divided by 79 is 7 with a remainder of 36.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 553 from 589 and we're left with 36.
Append the next digit (4) from the dividend to 36 and continue with: 364 / 79

Let's proceed to step 4:
If we divide 364 by 79, we get 4 and a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 74.0
The remainder is 48 after subtracting 316 from 364.
Append the next digit (1) from the dividend to 48 and continue with: 481 / 79

Step 5:
The number 79 fits into 481 6 times, leaving a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 746.0
If we take 474 away from 481, we end up with 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 79

Going ahead to step 6:
79 divided by 79 is 1 with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 7461.0
If we subtract 79 from 79, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 7:
79 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 7461.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
The number 79 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 7461.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 7461.0 with a remainder of 0.0.