We look at the division of 262359 by 31 
We're looking to find how many times 31 goes into 262359.

Let's proceed to step 1:
31 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 31

On to step 2:
When dividing 26 by 31, we get 0 with a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 26 after subtracting 0 from 26.
Fetch the next digit (2) from the dividend, attach it to 26 and continue: 262 / 31

Step 3:
When dividing 262 by 31, we get 8 with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 248 away from 262, we end up with 14.
Grab the next digit (3) from the dividend, add it to 14, then carry on: 143 / 31

Going ahead to step 4:
The number 31 fits into 143 4 times, leaving a remainder of 19.
Use 4 as the next digit of our solution. 
Result so far: 84.0
The remainder is 19 after subtracting 124 from 143.
Append the next digit (5) from the dividend to 19 and continue with: 195 / 31

Let's proceed to step 5:
When dividing 195 by 31, we get 6 with a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 846.0
The remainder is 9 after subtracting 186 from 195.
Include the next digit (9) from the dividend after 9, then repeat: 99 / 31

Going ahead to step 6:
99 divided by 31 is 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 8463.0
Deduct 93 from 99 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.

Step 7:
The number 31 fits into 60 1 times, leaving a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 8463.1
Subtracting 31 from 60 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 8:
31 goes into 290 9 times with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 8463.19
Subtract 279 from 290 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 9:
If we divide 110 by 31, we get 3 and a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 8463.193
Subtracting 93 from 110 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 10:
The number 31 fits into 170 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 8463.1935
If we take 155 away from 170, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 11:
When dividing 150 by 31, we get 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 8463.19354
The remainder is 26 after subtracting 124 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 12:
When dividing 260 by 31, we get 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 8463.193548
Subtract 248 from 260 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 13:
120 divided by 31 is 3 with a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 8463.1935483
If we subtract 93 from 120, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 14:
The number 31 fits into 270 8 times, leaving a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 8463.19354838
If we subtract 248 from 270, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 8463.19354838, and the remainder is 2.2e-08.