We're dividing 41582 by 61 
Our goal is to divide 41582 by 61.

On to step 1:
If we divide 4 by 61, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 61

On to step 2:
41 divided by 61 is 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Grab the next digit (5) from the dividend, add it to 41, then carry on: 415 / 61

Going ahead to step 3:
When dividing 415 by 61, we get 6 with a remainder of 49.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 366 from 415, we get 49.
Append the next digit (8) from the dividend to 49 and continue with: 498 / 61

On to step 4:
498 divided by 61 is 8 with a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 68.0
If we subtract 488 from 498, we get 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 61

Advancing to step 5:
61 goes into 102 1 times with a remainder of 41.
The number 1 becomes the next digit in our result. 
Result so far: 681.0
If we subtract 61 from 102, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 6:
61 can be fit into 410 6 times, resulting in a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 681.6
Deduct 366 from 410 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 7:
If we divide 440 by 61, we get 7 and a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 681.67
Subtract 427 from 440 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 8:
If we divide 130 by 61, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 681.672
Subtract 122 from 130 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
When dividing 80 by 61, we get 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 681.6721
If we take 61 away from 80, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 10:
61 goes into 190 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 681.67213
Subtracting 183 from 190 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
70 divided by 61 is 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 681.672131
If we take 61 away from 70, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 12:
90 divided by 61 is 1 with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 681.6721311
The remainder is 29 after subtracting 61 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final outcome is 681.6721311, with a leftover of 2.9e-07.