We look at the division of 41105364 by 766 
We want to figure out the number of times 41105364 can be divided by 766.

On to step 1:
4 divided by 766 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 766

On to step 2:
If we divide 41 by 766, we get 0 and a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Fetch the next digit (1) from the dividend, attach it to 41 and continue: 411 / 766

Step 3:
411 divided by 766 is 0 with a remainder of 411.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 411, we get 411.
Take the next digit (0) from the dividend and append it to 411, then repeat: 4110 / 766

On to step 4:
766 goes into 4110 5 times with a remainder of 280.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 3830 from 4110 to get 280.
Include the next digit (5) from the dividend after 280, then repeat: 2805 / 766

Going ahead to step 5:
When dividing 2805 by 766, we get 3 with a remainder of 507.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
Subtracting 2298 from 2805 leaves us with 507.
Take the next digit (3) from the dividend and append it to 507, then repeat: 5073 / 766

Advancing to step 6:
5073 divided by 766 is 6 with a remainder of 477.
Write down 6 as next digit of the result. 
Result so far: 536.0
Deduct 4596 from 5073 and we're left with 477.
Take the next digit (6) from the dividend and append it to 477, then repeat: 4776 / 766

Moving on to step 7:
766 can be fit into 4776 6 times, resulting in a remainder of 180.
The number 6 becomes the next digit in our result. 
Result so far: 5366.0
Subtracting 4596 from 4776 leaves us with 180.
Append the next digit (4) from the dividend to 180 and continue with: 1804 / 766

Moving on to step 8:
The number 766 fits into 1804 2 times, leaving a remainder of 272.
Write down 2 as next digit of the result. 
Result so far: 53662.0
Subtracting 1532 from 1804 leaves us with 272.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2720, and continue the process.

Let's proceed to step 9:
If we divide 2720 by 766, we get 3 and a remainder of 422.
Use 3 as the next digit of our solution. 
Result so far: 53662.3
Subtracting 2298 from 2720 leaves us with 422.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4220, and continue the process.

Moving on to step 10:
4220 divided by 766 is 5 with a remainder of 390.
Put 5 as the next digit of the answer. 
Result so far: 53662.35
If we take 3830 away from 4220, we end up with 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3900, and continue the process.

Step 11:
766 goes into 3900 5 times with a remainder of 70.
The number 5 becomes the next digit in our result. 
Result so far: 53662.355
If we subtract 3830 from 3900, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Our division results in 53662.355 with a remaining 0.007.