We're dividing 182961 by 31 
Our goal is to divide 182961 by 31.

Let's proceed to step 1:
If we divide 1 by 31, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 31

Step 2:
31 can be fit into 18 0 times, resulting in a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 18 leaves us with 18.
Fetch the next digit (2) from the dividend, attach it to 18 and continue: 182 / 31

Going ahead to step 3:
31 can be fit into 182 5 times, resulting in a remainder of 27.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 155 from 182 and we're left with 27.
Fetch the next digit (9) from the dividend, attach it to 27 and continue: 279 / 31

On to step 4:
The number 31 fits into 279 9 times, leaving a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 59.0
The remainder is 0 after subtracting 279 from 279.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 31

Advancing to step 5:
If we divide 6 by 31, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 590.0
If we subtract 0 from 6, we get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 31

Advancing to step 6:
If we divide 61 by 31, we get 1 and a remainder of 30.
Use 1 as the next digit of our solution. 
Result so far: 5901.0
The remainder is 30 after subtracting 31 from 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 7:
When dividing 300 by 31, we get 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 5901.9
Deduct 279 from 300 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 8:
When dividing 210 by 31, we get 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 5901.96
Subtract 186 from 210 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
The number 31 fits into 240 7 times, leaving a remainder of 23.
The next digit of our result is 7. 
Result so far: 5901.967
If we take 217 away from 240, we end up 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.

Moving on to step 10:
The number 31 fits into 230 7 times, leaving a remainder of 13.
The next digit of our result is 7. 
Result so far: 5901.9677
Deduct 217 from 230 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 5901.9677, and the remainder is 0.00013.