41093115 ÷ 259 
We're looking to find how many times 259 goes into 41093115.

Advancing to step 1:
When dividing 4 by 259, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 259

Advancing to step 2:
259 goes into 41 0 times with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Include the next digit (0) from the dividend after 41, then repeat: 410 / 259

Let's proceed to step 3:
The number 259 fits into 410 1 times, leaving a remainder of 151.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 259 from 410 and we're left with 151.
Include the next digit (9) from the dividend after 151, then repeat: 1519 / 259

Step 4:
1519 divided by 259 is 5 with a remainder of 224.
Put 5 as the next digit of the answer. 
Result so far: 15.0
The remainder is 224 after subtracting 1295 from 1519.
Append the next digit (3) from the dividend to 224 and continue with: 2243 / 259

Moving on to step 5:
259 goes into 2243 8 times with a remainder of 171.
Put 8 as the next digit of the answer. 
Result so far: 158.0
Subtracting 2072 from 2243 leaves us with 171.
Include the next digit (1) from the dividend after 171, then repeat: 1711 / 259

On to step 6:
259 can be fit into 1711 6 times, resulting in a remainder of 157.
The next digit of our result is 6. 
Result so far: 1586.0
Subtract 1554 from 1711 to get 157.
Append the next digit (1) from the dividend to 157 and continue with: 1571 / 259

Moving on to step 7:
259 goes into 1571 6 times with a remainder of 17.
The next digit of our result is 6. 
Result so far: 15866.0
If we take 1554 away from 1571, we end up with 17.
Bring next digit (5) of the dividend behind the 17 and repeat the process: 175 / 259

Advancing to step 8:
259 can be fit into 175 0 times, resulting in a remainder of 175.
The next digit of our result is 0. 
Result so far: 158660.0
Subtract 0 from 175 to get 175.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1750, and continue the process.

On to step 9:
259 can be fit into 1750 6 times, resulting in a remainder of 196.
Record the quotient 6 as the next digit in the result. 
Result so far: 158660.6
Deduct 1554 from 1750 and we're left with 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Let's proceed to step 10:
259 goes into 1960 7 times with a remainder of 147.
The next digit of our result is 7. 
Result so far: 158660.67
Subtracting 1813 from 1960 leaves us with 147.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1470, and continue the process.

Let's proceed to step 11:
If we divide 1470 by 259, we get 5 and a remainder of 175.
The number 5 becomes the next digit in our result. 
Result so far: 158660.675
Deduct 1295 from 1470 and we're left with 175.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1750, and continue the process.

Moving on to step 12:
The number 259 fits into 1750 6 times, leaving a remainder of 196.
Write down 6 as next digit of the result. 
Result so far: 158660.6756
The remainder is 196 after subtracting 1554 from 1750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Step 13:
259 goes into 1960 7 times with a remainder of 147.
Write down 7 as next digit of the result. 
Result so far: 158660.67567
Subtract 1813 from 1960 to get 147.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1470, and continue the process.

Moving on to step 14:
259 can be fit into 1470 5 times, resulting in a remainder of 175.
The next digit of our result is 5. 
Result so far: 158660.675675
Deduct 1295 from 1470 and we're left with 175.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1750, and continue the process.

Advancing to step 15:
The number 259 fits into 1750 6 times, leaving a remainder of 196.
The number 6 becomes the next digit in our result. 
Result so far: 158660.6756756
If we subtract 1554 from 1750, we get 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Step 16:
If we divide 1960 by 259, we get 7 and a remainder of 147.
Write down 7 as next digit of the result. 
Result so far: 158660.67567567
Subtracting 1813 from 1960 leaves us with 147.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1470, and continue the process.

In conclusion, the division gives 158660.67567567 with a balance of 1.47e-07.