We look at the division of 266599 by 31 
Let's see how many times 31 fits into 266599.

Let's proceed to step 1:
If we divide 2 by 31, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 31

Moving on to step 2:
The number 31 fits into 26 0 times, leaving a remainder of 26.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Include the next digit (6) from the dividend after 26, then repeat: 266 / 31

Advancing to step 3:
The number 31 fits into 266 8 times, leaving a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 248 from 266 leaves us with 18.
Include the next digit (5) from the dividend after 18, then repeat: 185 / 31

Let's proceed to step 4:
The number 31 fits into 185 5 times, leaving a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 85.0
Deduct 155 from 185 and we're left with 30.
Append the next digit (9) from the dividend to 30 and continue with: 309 / 31

Advancing to step 5:
If we divide 309 by 31, we get 9 and a remainder of 30.
Put 9 as the next digit of the answer. 
Result so far: 859.0
Subtract 279 from 309 to get 30.
Take the next digit (9) from the dividend and append it to 30, then repeat: 309 / 31

Going ahead to step 6:
If we divide 309 by 31, we get 9 and a remainder of 30.
The next digit of our result is 9. 
Result so far: 8599.0
Subtract 279 from 309 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
31 goes into 300 9 times with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 8599.9
The remainder is 21 after subtracting 279 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 8:
When dividing 210 by 31, we get 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 8599.96
Deduct 186 from 210 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 9:
If we divide 240 by 31, we get 7 and a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 8599.967
Deduct 217 from 240 and we're left 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.

Step 10:
31 goes into 230 7 times with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 8599.9677
Subtract 217 from 230 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 8599.9677 with a balance of 0.00013.