107261 ÷ 94 
We want to figure out the number of times 107261 can be divided by 94.

Going ahead to step 1:
When dividing 1 by 94, we get 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.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 94

Going ahead to step 2:
The number 94 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 94

Moving on to step 3:
When dividing 107 by 94, we get 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 94 from 107, we get 13.
Include the next digit (2) from the dividend after 13, then repeat: 132 / 94

On to step 4:
132 divided by 94 is 1 with a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 94 away from 132, we end up with 38.
Fetch the next digit (6) from the dividend, attach it to 38 and continue: 386 / 94

Let's proceed to step 5:
386 divided by 94 is 4 with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 114.0
If we take 376 away from 386, we end up with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 94

Going ahead to step 6:
If we divide 101 by 94, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1141.0
Deduct 94 from 101 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
94 goes into 70 0 times with a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 1141.0
If we take 0 away from 70, we end up 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.

Step 8:
94 can be fit into 700 7 times, resulting in a remainder of 42.
Put 7 as the next digit of the answer. 
Result so far: 1141.07
The remainder is 42 after subtracting 658 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 9:
If we divide 420 by 94, we get 4 and a remainder of 44.
Put 4 as the next digit of the answer. 
Result so far: 1141.074
If we subtract 376 from 420, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 10:
If we divide 440 by 94, we get 4 and a remainder of 64.
The number 4 becomes the next digit in our result. 
Result so far: 1141.0744
Subtracting 376 from 440 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 1141.0744 with a balance of 0.00064.