We divide 413965 by 86
We want to divide 413965 by 86.

Advancing to step 1:
When dividing 4 by 86, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 86

Moving on to step 2:
86 can be fit into 41 0 times, resulting in a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Grab the next digit (3) from the dividend, add it to 41, then carry on: 413 / 86

Step 3:
413 divided by 86 is 4 with a remainder of 69.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 344 from 413 to get 69.
Grab the next digit (9) from the dividend, add it to 69, then carry on: 699 / 86

Step 4:
699 divided by 86 is 8 with a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 48.0
Subtract 688 from 699 to get 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 86

Going ahead to step 5:
86 goes into 116 1 times with a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 481.0
The remainder is 30 after subtracting 86 from 116.
Include the next digit (5) from the dividend after 30, then repeat: 305 / 86

Let's proceed to step 6:
86 can be fit into 305 3 times, resulting in a remainder of 47.
Use 3 as the next digit of our solution. 
Result so far: 4813.0
If we subtract 258 from 305, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 7:
The number 86 fits into 470 5 times, leaving a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 4813.5
If we take 430 away from 470, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
86 goes into 400 4 times with a remainder of 56.
The next digit of our result is 4. 
Result so far: 4813.54
Subtract 344 from 400 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 9:
The number 86 fits into 560 6 times, leaving a remainder of 44.
The next digit of our result is 6. 
Result so far: 4813.546
If we take 516 away from 560, we end up 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.

Step 10:
If we divide 440 by 86, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 4813.5465
Subtract 430 from 440 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
The number 86 fits into 100 1 times, leaving a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 4813.54651
The remainder is 14 after subtracting 86 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 12:
If we divide 140 by 86, we get 1 and a remainder of 54.
The next digit of our result is 1. 
Result so far: 4813.546511
If we subtract 86 from 140, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final outcome is 4813.546511, with a leftover of 5.4e-06.