We look at the division of 10910934 by 261 
Let's see how many times 261 fits into 10910934.

Step 1:
1 divided by 261 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 261

Let's proceed to step 2:
If we divide 10 by 261, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 261

Step 3:
The number 261 fits into 109 0 times, leaving a remainder of 109.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 109 after subtracting 0 from 109.
Fetch the next digit (1) from the dividend, attach it to 109 and continue: 1091 / 261

Moving on to step 4:
1091 divided by 261 is 4 with a remainder of 47.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 1044 away from 1091, we end up with 47.
Append the next digit (0) from the dividend to 47 and continue with: 470 / 261

Moving on to step 5:
When dividing 470 by 261, we get 1 with a remainder of 209.
Put 1 as the next digit of the answer. 
Result so far: 41.0
The remainder is 209 after subtracting 261 from 470.
Fetch the next digit (9) from the dividend, attach it to 209 and continue: 2099 / 261

On to step 6:
2099 divided by 261 is 8 with a remainder of 11.
Record the quotient 8 as the next digit in the result. 
Result so far: 418.0
If we subtract 2088 from 2099, we get 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 261

Moving on to step 7:
113 divided by 261 is 0 with a remainder of 113.
The next digit of our result is 0. 
Result so far: 4180.0
The remainder is 113 after subtracting 0 from 113.
Include the next digit (4) from the dividend after 113, then repeat: 1134 / 261

Moving on to step 8:
When dividing 1134 by 261, we get 4 with a remainder of 90.
Put 4 as the next digit of the answer. 
Result so far: 41804.0
The remainder is 90 after subtracting 1044 from 1134.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Going ahead to step 9:
261 can be fit into 900 3 times, resulting in a remainder of 117.
Use 3 as the next digit of our solution. 
Result so far: 41804.3
If we subtract 783 from 900, we get 117.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1170, and continue the process.

Moving on to step 10:
The number 261 fits into 1170 4 times, leaving a remainder of 126.
Use 4 as the next digit of our solution. 
Result so far: 41804.34
Deduct 1044 from 1170 and we're left with 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Going ahead to step 11:
261 can be fit into 1260 4 times, resulting in a remainder of 216.
Record the quotient 4 as the next digit in the result. 
Result so far: 41804.344
Deduct 1044 from 1260 and we're left with 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

Our division results in 41804.344 with a remaining 0.0216.