41795510 ÷ 557 
We want to figure out the number of times 41795510 can be divided by 557.

Going ahead to step 1:
If we divide 4 by 557, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 557

Moving on to step 2:
The number 557 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Fetch the next digit (7) from the dividend, attach it to 41 and continue: 417 / 557

Let's proceed to step 3:
557 goes into 417 0 times with a remainder of 417.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 417 to get 417.
Grab the next digit (9) from the dividend, add it to 417, then carry on: 4179 / 557

On to step 4:
557 can be fit into 4179 7 times, resulting in a remainder of 280.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 3899 from 4179 and we're left with 280.
Append the next digit (5) from the dividend to 280 and continue with: 2805 / 557

Let's proceed to step 5:
557 can be fit into 2805 5 times, resulting in a remainder of 20.
The next digit of our result is 5. 
Result so far: 75.0
Subtracting 2785 from 2805 leaves us with 20.
Bring next digit (5) of the dividend behind the 20 and repeat the process: 205 / 557

On to step 6:
205 divided by 557 is 0 with a remainder of 205.
Write down 0 as next digit of the result. 
Result so far: 750.0
If we subtract 0 from 205, we get 205.
Grab the next digit (1) from the dividend, add it to 205, then carry on: 2051 / 557

Let's proceed to step 7:
When dividing 2051 by 557, we get 3 with a remainder of 380.
The next digit of our result is 3. 
Result so far: 7503.0
Subtract 1671 from 2051 to get 380.
Fetch the next digit (0) from the dividend, attach it to 380 and continue: 3800 / 557

On to step 8:
The number 557 fits into 3800 6 times, leaving a remainder of 458.
The number 6 becomes the next digit in our result. 
Result so far: 75036.0
The remainder is 458 after subtracting 3342 from 3800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4580, and continue the process.

On to step 9:
557 can be fit into 4580 8 times, resulting in a remainder of 124.
The number 8 becomes the next digit in our result. 
Result so far: 75036.8
Subtract 4456 from 4580 to get 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

Advancing to step 10:
When dividing 1240 by 557, we get 2 with a remainder of 126.
The number 2 becomes the next digit in our result. 
Result so far: 75036.82
If we subtract 1114 from 1240, we get 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Moving on to step 11:
The number 557 fits into 1260 2 times, leaving a remainder of 146.
Put 2 as the next digit of the answer. 
Result so far: 75036.822
Subtract 1114 from 1260 to get 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

Our division results in 75036.822 with a remaining 0.0146.