Let's divide 261859 by 31
We want to divide 261859 by 31.

Moving on to step 1:
2 divided by 31 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 31

Moving on to step 2:
31 goes into 26 0 times with a remainder of 26.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Bring next digit (1) of the dividend behind the 26 and repeat the process: 261 / 31

Step 3:
When dividing 261 by 31, we get 8 with a remainder of 13.
The next digit of our result is 8. 
Result so far: 8.0
If we take 248 away from 261, we end up with 13.
Append the next digit (8) from the dividend to 13 and continue with: 138 / 31

On to step 4:
The number 31 fits into 138 4 times, leaving a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 84.0
Subtracting 124 from 138 leaves us with 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 31

Step 5:
The number 31 fits into 145 4 times, leaving a remainder of 21.
Put 4 as the next digit of the answer. 
Result so far: 844.0
Subtract 124 from 145 to get 21.
Bring next digit (9) of the dividend behind the 21 and repeat the process: 219 / 31

Going ahead to step 6:
When dividing 219 by 31, we get 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 8447.0
If we take 217 away from 219, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
31 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 8447.0
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
If we divide 200 by 31, we get 6 and a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 8447.06
If we take 186 away from 200, we end up 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.

Let's proceed to step 9:
140 divided by 31 is 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 8447.064
Subtract 124 from 140 to get 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 10:
When dividing 160 by 31, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 8447.0645
If we subtract 155 from 160, we get 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 11:
31 can be fit into 50 1 times, resulting in a remainder of 19.
The next digit of our result is 1. 
Result so far: 8447.06451
Subtract 31 from 50 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 12:
31 goes into 190 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 8447.064516
If we subtract 186 from 190, we 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.

On to step 13:
When dividing 40 by 31, we get 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 8447.0645161
If we take 31 away from 40, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 14:
31 goes into 90 2 times with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 8447.06451612
Subtract 62 from 90 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

After the division, we end up with 8447.06451612 and a remainder of 2.8e-08.