We look at the division of 10266 by 94 
We're looking to find how many times 94 goes into 10266.

Going ahead to step 1:
94 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 94

Advancing to step 2:
If we divide 10 by 94, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 94

Going ahead to step 3:
When dividing 102 by 94, we get 1 with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 8 after subtracting 94 from 102.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 94

On to step 4:
The number 94 fits into 86 0 times, leaving a remainder of 86.
The next digit of our result is 0. 
Result so far: 10.0
The remainder is 86 after subtracting 0 from 86.
Bring next digit (6) of the dividend behind the 86 and repeat the process: 866 / 94

Going ahead to step 5:
866 divided by 94 is 9 with a remainder of 20.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
Deduct 846 from 866 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.

Going ahead to step 6:
When dividing 200 by 94, we get 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 109.2
Subtract 188 from 200 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.

Let's proceed to step 7:
The number 94 fits into 120 1 times, leaving a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 109.21
If we take 94 away from 120, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 8:
94 goes into 260 2 times with a remainder of 72.
The next digit of our result is 2. 
Result so far: 109.212
Deduct 188 from 260 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 9:
720 divided by 94 is 7 with a remainder of 62.
Use 7 as the next digit of our solution. 
Result so far: 109.2127
Subtract 658 from 720 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 10:
94 can be fit into 620 6 times, resulting in a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 109.21276
If we take 564 away from 620, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 11:
94 goes into 560 5 times with a remainder of 90.
Put 5 as the next digit of the answer. 
Result so far: 109.212765
Deduct 470 from 560 and we're left with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Step 12:
The number 94 fits into 900 9 times, leaving a remainder of 54.
Write down 9 as next digit of the result. 
Result so far: 109.2127659
If we subtract 846 from 900, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 13:
When dividing 540 by 94, we get 5 with a remainder of 70.
The number 5 becomes the next digit in our result. 
Result so far: 109.21276595
Deduct 470 from 540 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

After the division, we end up with 109.21276595 and a remainder of 7e-08.