113782 divided by 83 
Our goal is to divide 113782 by 83.

On to step 1:
The number 83 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 83

Step 2:
When dividing 11 by 83, we get 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 83

Going ahead to step 3:
The number 83 fits into 113 1 times, leaving a remainder of 30.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 83 from 113 to get 30.
Append the next digit (7) from the dividend to 30 and continue with: 307 / 83

Let's proceed to step 4:
When dividing 307 by 83, we get 3 with a remainder of 58.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we subtract 249 from 307, we get 58.
Bring next digit (8) of the dividend behind the 58 and repeat the process: 588 / 83

Moving on to step 5:
If we divide 588 by 83, we get 7 and a remainder of 7.
The next digit of our result is 7. 
Result so far: 137.0
Deduct 581 from 588 and we're left with 7.
Include the next digit (2) from the dividend after 7, then repeat: 72 / 83

Moving on to step 6:
When dividing 72 by 83, we get 0 with a remainder of 72.
Record the quotient 0 as the next digit in the result. 
Result so far: 1370.0
The remainder is 72 after subtracting 0 from 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 7:
If we divide 720 by 83, we get 8 and a remainder of 56.
Use 8 as the next digit of our solution. 
Result so far: 1370.8
The remainder is 56 after subtracting 664 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 8:
83 goes into 560 6 times with a remainder of 62.
The next digit of our result is 6. 
Result so far: 1370.86
If we subtract 498 from 560, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 9:
83 can be fit into 620 7 times, resulting in a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 1370.867
If we take 581 away from 620, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 10:
83 goes into 390 4 times with a remainder of 58.
Use 4 as the next digit of our solution. 
Result so far: 1370.8674
Deduct 332 from 390 and we're left 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.

Moving on to step 11:
83 goes into 580 6 times with a remainder of 82.
The number 6 becomes the next digit in our result. 
Result so far: 1370.86746
If we subtract 498 from 580, we get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

On to step 12:
When dividing 820 by 83, we get 9 with a remainder of 73.
Use 9 as the next digit of our solution. 
Result so far: 1370.867469
The remainder is 73 after subtracting 747 from 820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Advancing to step 13:
730 divided by 83 is 8 with a remainder of 66.
The next digit of our result is 8. 
Result so far: 1370.8674698
Subtracting 664 from 730 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 14:
83 goes into 660 7 times with a remainder of 79.
The next digit of our result is 7. 
Result so far: 1370.86746987
The remainder is 79 after subtracting 581 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

In conclusion, the division gives 1370.86746987 with a balance of 7.9e-08.