We look at the division of 581164 by 79 
We want to divide 581164 by 79.

Step 1:
79 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 79

Advancing to step 2:
The number 79 fits into 58 0 times, leaving a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Append the next digit (1) from the dividend to 58 and continue with: 581 / 79

Advancing to step 3:
79 can be fit into 581 7 times, resulting in a remainder of 28.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we take 553 away from 581, we end up with 28.
Take the next digit (1) from the dividend and append it to 28, then repeat: 281 / 79

Step 4:
If we divide 281 by 79, we get 3 and a remainder of 44.
Use 3 as the next digit of our solution. 
Result so far: 73.0
Subtract 237 from 281 to get 44.
Append the next digit (6) from the dividend to 44 and continue with: 446 / 79

Let's proceed to step 5:
79 can be fit into 446 5 times, resulting in a remainder of 51.
The next digit of our result is 5. 
Result so far: 735.0
If we take 395 away from 446, we end up with 51.
Fetch the next digit (4) from the dividend, attach it to 51 and continue: 514 / 79

Let's proceed to step 6:
When dividing 514 by 79, we get 6 with a remainder of 40.
Use 6 as the next digit of our solution. 
Result so far: 7356.0
Deduct 474 from 514 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 7:
79 goes into 400 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 7356.5
If we take 395 away from 400, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
If we divide 50 by 79, we get 0 and a remainder of 50.
The next digit of our result is 0. 
Result so far: 7356.5
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 9:
79 goes into 500 6 times with a remainder of 26.
Put 6 as the next digit of the answer. 
Result so far: 7356.506
Subtracting 474 from 500 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 10:
If we divide 260 by 79, we get 3 and a remainder of 23.
Record the quotient 3 as the next digit in the result. 
Result so far: 7356.5063
Subtracting 237 from 260 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 11:
The number 79 fits into 230 2 times, leaving a remainder of 72.
The next digit of our result is 2. 
Result so far: 7356.50632
Deduct 158 from 230 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 12:
When dividing 720 by 79, we get 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 7356.506329
The remainder is 9 after subtracting 711 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 13:
90 divided by 79 is 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 7356.5063291
Deduct 79 from 90 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 14:
The number 79 fits into 110 1 times, leaving a remainder of 31.
The next digit of our result is 1. 
Result so far: 7356.50632911
Subtract 79 from 110 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The quotient of the division is 7356.50632911, and the remainder is 3.1e-08.