We're dividing 41159734 by 586 
We're looking to find how many times 586 goes into 41159734.

Moving on to step 1:
586 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 586

Moving on to step 2:
586 can be fit into 41 0 times, resulting in a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Include the next digit (1) from the dividend after 41, then repeat: 411 / 586

Advancing to step 3:
586 goes into 411 0 times with a remainder of 411.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 411 leaves us with 411.
Take the next digit (5) from the dividend and append it to 411, then repeat: 4115 / 586

Going ahead to step 4:
The number 586 fits into 4115 7 times, leaving a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 13 after subtracting 4102 from 4115.
Include the next digit (9) from the dividend after 13, then repeat: 139 / 586

Step 5:
139 divided by 586 is 0 with a remainder of 139.
Use 0 as the next digit of our solution. 
Result so far: 70.0
The remainder is 139 after subtracting 0 from 139.
Fetch the next digit (7) from the dividend, attach it to 139 and continue: 1397 / 586

Advancing to step 6:
If we divide 1397 by 586, we get 2 and a remainder of 225.
The number 2 becomes the next digit in our result. 
Result so far: 702.0
Subtract 1172 from 1397 to get 225.
Fetch the next digit (3) from the dividend, attach it to 225 and continue: 2253 / 586

Step 7:
When dividing 2253 by 586, we get 3 with a remainder of 495.
The next digit of our result is 3. 
Result so far: 7023.0
If we take 1758 away from 2253, we end up with 495.
Take the next digit (4) from the dividend and append it to 495, then repeat: 4954 / 586

Going ahead to step 8:
4954 divided by 586 is 8 with a remainder of 266.
The next digit of our result is 8. 
Result so far: 70238.0
The remainder is 266 after subtracting 4688 from 4954.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2660, and continue the process.

On to step 9:
The number 586 fits into 2660 4 times, leaving a remainder of 316.
The number 4 becomes the next digit in our result. 
Result so far: 70238.4
If we subtract 2344 from 2660, we get 316.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3160, and continue the process.

Step 10:
586 can be fit into 3160 5 times, resulting in a remainder of 230.
Record the quotient 5 as the next digit in the result. 
Result so far: 70238.45
Subtracting 2930 from 3160 leaves us with 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2300, and continue the process.

Let's proceed to step 11:
2300 divided by 586 is 3 with a remainder of 542.
Use 3 as the next digit of our solution. 
Result so far: 70238.453
The remainder is 542 after subtracting 1758 from 2300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5420, and continue the process.

Let's proceed to step 12:
586 goes into 5420 9 times with a remainder of 146.
Use 9 as the next digit of our solution. 
Result so far: 70238.4539
If we take 5274 away from 5420, we end up with 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

Moving on to step 13:
When dividing 1460 by 586, we get 2 with a remainder of 288.
The number 2 becomes the next digit in our result. 
Result so far: 70238.45392
Deduct 1172 from 1460 and we're left with 288.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2880, and continue the process.

Step 14:
2880 divided by 586 is 4 with a remainder of 536.
The number 4 becomes the next digit in our result. 
Result so far: 70238.453924
If we take 2344 away from 2880, we end up with 536.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5360, and continue the process.

Advancing to step 15:
5360 divided by 586 is 9 with a remainder of 86.
Write down 9 as next digit of the result. 
Result so far: 70238.4539249
The remainder is 86 after subtracting 5274 from 5360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Moving on to step 16:
860 divided by 586 is 1 with a remainder of 274.
The next digit of our result is 1. 
Result so far: 70238.45392491
Subtract 586 from 860 to get 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

In conclusion, the division gives 70238.45392491 with a balance of 2.74e-07.