83782 divided by 31 
We want to divide 83782 by 31.

On to step 1:
The number 31 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 31

Step 2:
If we divide 83 by 31, we get 2 and a remainder of 21.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 62 from 83, we get 21.
Grab the next digit (7) from the dividend, add it to 21, then carry on: 217 / 31

On to step 3:
31 can be fit into 217 7 times, resulting in a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 27.0
Subtract 217 from 217 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 31

Moving on to step 4:
The number 31 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 270.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 31

Step 5:
31 can be fit into 82 2 times, resulting in a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 2702.0
If we subtract 62 from 82, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 6:
When dividing 200 by 31, we get 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 2702.6
Subtract 186 from 200 to get 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 7:
The number 31 fits into 140 4 times, leaving a remainder of 16.
The next digit of our result is 4. 
Result so far: 2702.64
Subtracting 124 from 140 leaves us 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.

Step 8:
31 can be fit into 160 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 2702.645
Subtracting 155 from 160 leaves us 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.

On to step 9:
The number 31 fits into 50 1 times, leaving a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 2702.6451
Subtracting 31 from 50 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 10:
If we divide 190 by 31, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 2702.64516
Subtract 186 from 190 to 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.

Let's proceed to step 11:
40 divided by 31 is 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 2702.645161
Subtract 31 from 40 to get 9.
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 12:
31 can be fit into 90 2 times, resulting in a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 2702.6451612
Deduct 62 from 90 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 13:
280 divided by 31 is 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 2702.64516129
If we take 279 away from 280, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 2702.64516129, and the remainder is 1e-09.