We look at the division of 416665 by 89 
Our goal is to divide 416665 by 89.

On to step 1:
89 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 89

Advancing to step 2:
If we divide 41 by 89, we get 0 and 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.
Take the next digit (6) from the dividend and append it to 41, then repeat: 416 / 89

Advancing to step 3:
416 divided by 89 is 4 with a remainder of 60.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 356 away from 416, we end up with 60.
Grab the next digit (6) from the dividend, add it to 60, then carry on: 606 / 89

Moving on to step 4:
606 divided by 89 is 6 with a remainder of 72.
The number 6 becomes the next digit in our result. 
Result so far: 46.0
Subtract 534 from 606 to get 72.
Append the next digit (6) from the dividend to 72 and continue with: 726 / 89

On to step 5:
If we divide 726 by 89, we get 8 and a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 468.0
If we take 712 away from 726, we end up with 14.
Append the next digit (5) from the dividend to 14 and continue with: 145 / 89

Step 6:
If we divide 145 by 89, we get 1 and a remainder of 56.
Use 1 as the next digit of our solution. 
Result so far: 4681.0
If we subtract 89 from 145, we 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.

On to step 7:
The number 89 fits into 560 6 times, leaving a remainder of 26.
The next digit of our result is 6. 
Result so far: 4681.6
Subtracting 534 from 560 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 8:
When dividing 260 by 89, we get 2 with a remainder of 82.
Put 2 as the next digit of the answer. 
Result so far: 4681.62
Deduct 178 from 260 and we're left with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Moving on to step 9:
89 goes into 820 9 times with a remainder of 19.
The number 9 becomes the next digit in our result. 
Result so far: 4681.629
Subtract 801 from 820 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 10:
If we divide 190 by 89, we get 2 and a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 4681.6292
Subtract 178 from 190 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 11:
120 divided by 89 is 1 with a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 4681.62921
Subtract 89 from 120 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 12:
89 goes into 310 3 times with a remainder of 43.
Use 3 as the next digit of our solution. 
Result so far: 4681.629213
Deduct 267 from 310 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 13:
89 can be fit into 430 4 times, resulting in a remainder of 74.
The next digit of our result is 4. 
Result so far: 4681.6292134
If we subtract 356 from 430, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 14:
If we divide 740 by 89, we get 8 and a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 4681.62921348
If we subtract 712 from 740, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final outcome is 4681.62921348, with a leftover of 2.8e-08.