We're dividing 473088 by 41 
We want to divide 473088 by 41.

On to step 1:
41 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 41

Moving on to step 2:
41 can be fit into 47 1 times, resulting in a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 41 from 47 leaves us with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 41

Going ahead to step 3:
When dividing 63 by 41, we get 1 with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we take 41 away from 63, we end up with 22.
Include the next digit (0) from the dividend after 22, then repeat: 220 / 41

Moving on to step 4:
41 can be fit into 220 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 115.0
If we take 205 away from 220, we end up with 15.
Append the next digit (8) from the dividend to 15 and continue with: 158 / 41

Moving on to step 5:
When dividing 158 by 41, we get 3 with a remainder of 35.
The next digit of our result is 3. 
Result so far: 1153.0
The remainder is 35 after subtracting 123 from 158.
Fetch the next digit (8) from the dividend, attach it to 35 and continue: 358 / 41

On to step 6:
41 can be fit into 358 8 times, resulting in a remainder of 30.
The next digit of our result is 8. 
Result so far: 11538.0
The remainder is 30 after subtracting 328 from 358.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
The number 41 fits into 300 7 times, leaving a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 11538.7
Subtracting 287 from 300 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 8:
41 goes into 130 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 11538.73
The remainder is 7 after subtracting 123 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 9:
When dividing 70 by 41, we get 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 11538.731
Subtract 41 from 70 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 10:
41 can be fit into 290 7 times, resulting in a remainder of 3.
The next digit of our result is 7. 
Result so far: 11538.7317
Deduct 287 from 290 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 11:
The number 41 fits into 30 0 times, leaving a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 11538.7317
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
If we divide 300 by 41, we get 7 and a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 11538.731707
The remainder is 13 after subtracting 287 from 300.
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 13:
41 goes into 130 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 11538.7317073
If we take 123 away from 130, we end up 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.

Advancing to step 14:
70 divided by 41 is 1 with a remainder of 29.
The next digit of our result is 1. 
Result so far: 11538.73170731
Subtracting 41 from 70 leaves us with 29.
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 11538.73170731, with a leftover of 2.9e-08.