79579 ÷ 31 
Our goal is to divide 79579 by 31.

Going ahead to step 1:
31 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 31

Going ahead to step 2:
If we divide 79 by 31, we get 2 and a remainder of 17.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 62 from 79 leaves us with 17.
Grab the next digit (5) from the dividend, add it to 17, then carry on: 175 / 31

On to step 3:
175 divided by 31 is 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 25.0
If we subtract 155 from 175, we get 20.
Append the next digit (7) from the dividend to 20 and continue with: 207 / 31

Going ahead to step 4:
31 can be fit into 207 6 times, resulting in a remainder of 21.
The next digit of our result is 6. 
Result so far: 256.0
If we subtract 186 from 207, we get 21.
Bring next digit (9) of the dividend behind the 21 and repeat the process: 219 / 31

Step 5:
The number 31 fits into 219 7 times, leaving a remainder of 2.
The next digit of our result is 7. 
Result so far: 2567.0
If we subtract 217 from 219, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 6:
20 divided by 31 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 2567.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 7:
200 divided by 31 is 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 2567.06
If we take 186 away from 200, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 8:
31 can be fit into 140 4 times, resulting in a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 2567.064
If we take 124 away from 140, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
31 goes into 160 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 2567.0645
Subtract 155 from 160 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
When dividing 50 by 31, we get 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 2567.06451
If we subtract 31 from 50, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 11:
If we divide 190 by 31, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 2567.064516
If we subtract 186 from 190, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
31 can be fit into 40 1 times, resulting in a remainder of 9.
The next digit of our result is 1. 
Result so far: 2567.0645161
If we take 31 away from 40, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 13:
31 can be fit into 90 2 times, resulting in a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 2567.06451612
Subtract 62 from 90 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Our division results in 2567.06451612 with a remaining 2.8e-08.