79598 ÷ 82 
Our goal is to divide 79598 by 82.

Let's proceed to step 1:
When dividing 7 by 82, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 82

On to step 2:
If we divide 79 by 82, we get 0 and a remainder of 79.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 79 after subtracting 0 from 79.
Bring next digit (5) of the dividend behind the 79 and repeat the process: 795 / 82

Step 3:
82 goes into 795 9 times with a remainder of 57.
Use 9 as the next digit of our solution. 
Result so far: 9.0
The remainder is 57 after subtracting 738 from 795.
Include the next digit (9) from the dividend after 57, then repeat: 579 / 82

Let's proceed to step 4:
If we divide 579 by 82, we get 7 and a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 97.0
The remainder is 5 after subtracting 574 from 579.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 82

Going ahead to step 5:
The number 82 fits into 58 0 times, leaving a remainder of 58.
The next digit of our result is 0. 
Result so far: 970.0
If we take 0 away from 58, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 6:
When dividing 580 by 82, we get 7 with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 970.7
Subtract 574 from 580 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
When dividing 60 by 82, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 970.7
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 8:
82 goes into 600 7 times with a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 970.707
If we subtract 574 from 600, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 9:
If we divide 260 by 82, we get 3 and a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 970.7073
Deduct 246 from 260 and we're left 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.

Step 10:
The number 82 fits into 140 1 times, leaving a remainder of 58.
The next digit of our result is 1. 
Result so far: 970.70731
If we subtract 82 from 140, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 11:
When dividing 580 by 82, we get 7 with a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 970.707317
Deduct 574 from 580 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
82 goes into 60 0 times with a remainder of 60.
The next digit of our result is 0. 
Result so far: 970.707317
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 13:
82 can be fit into 600 7 times, resulting in a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 970.70731707
Deduct 574 from 600 and we're left 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.

Our division results in 970.70731707 with a remaining 2.6e-08.