We look at the division of 41586401 by 614 
We want to divide 41586401 by 614.

On to step 1:
614 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
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 / 614

Moving on to step 2:
If we divide 41 by 614, we get 0 and a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Fetch the next digit (5) from the dividend, attach it to 41 and continue: 415 / 614

Moving on to step 3:
415 divided by 614 is 0 with a remainder of 415.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 415 to get 415.
Grab the next digit (8) from the dividend, add it to 415, then carry on: 4158 / 614

Going ahead to step 4:
614 goes into 4158 6 times with a remainder of 474.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 3684 away from 4158, we end up with 474.
Fetch the next digit (6) from the dividend, attach it to 474 and continue: 4746 / 614

Advancing to step 5:
The number 614 fits into 4746 7 times, leaving a remainder of 448.
Use 7 as the next digit of our solution. 
Result so far: 67.0
If we subtract 4298 from 4746, we get 448.
Bring next digit (4) of the dividend behind the 448 and repeat the process: 4484 / 614

Step 6:
The number 614 fits into 4484 7 times, leaving a remainder of 186.
The number 7 becomes the next digit in our result. 
Result so far: 677.0
Subtracting 4298 from 4484 leaves us with 186.
Bring next digit (0) of the dividend behind the 186 and repeat the process: 1860 / 614

Going ahead to step 7:
When dividing 1860 by 614, we get 3 with a remainder of 18.
Put 3 as the next digit of the answer. 
Result so far: 6773.0
Deduct 1842 from 1860 and we're left with 18.
Include the next digit (1) from the dividend after 18, then repeat: 181 / 614

Moving on to step 8:
If we divide 181 by 614, we get 0 and a remainder of 181.
The next digit of our result is 0. 
Result so far: 67730.0
Deduct 0 from 181 and we're left with 181.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1810, and continue the process.

Going ahead to step 9:
1810 divided by 614 is 2 with a remainder of 582.
Put 2 as the next digit of the answer. 
Result so far: 67730.2
If we subtract 1228 from 1810, we get 582.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5820, and continue the process.

Moving on to step 10:
If we divide 5820 by 614, we get 9 and a remainder of 294.
The next digit of our result is 9. 
Result so far: 67730.29
If we take 5526 away from 5820, we end up with 294.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2940, and continue the process.

Advancing to step 11:
If we divide 2940 by 614, we get 4 and a remainder of 484.
Record the quotient 4 as the next digit in the result. 
Result so far: 67730.294
Subtract 2456 from 2940 to get 484.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4840, and continue the process.

Advancing to step 12:
4840 divided by 614 is 7 with a remainder of 542.
The next digit of our result is 7. 
Result so far: 67730.2947
The remainder is 542 after subtracting 4298 from 4840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5420, and continue the process.

Moving on to step 13:
The number 614 fits into 5420 8 times, leaving a remainder of 508.
Put 8 as the next digit of the answer. 
Result so far: 67730.29478
If we take 4912 away from 5420, we end up with 508.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5080, and continue the process.

Let's proceed to step 14:
The number 614 fits into 5080 8 times, leaving a remainder of 168.
Use 8 as the next digit of our solution. 
Result so far: 67730.294788
If we take 4912 away from 5080, we end up with 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

After the division, we end up with 67730.294788 and a remainder of 1.68e-05.