We look at the division of 415166 by 39 
We want to divide 415166 by 39.

Advancing to step 1:
If we divide 4 by 39, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 39

Let's proceed to step 2:
39 goes into 41 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 2 after subtracting 39 from 41.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 39

Moving on to step 3:
The number 39 fits into 25 0 times, leaving a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 25 to get 25.
Grab the next digit (1) from the dividend, add it to 25, then carry on: 251 / 39

Let's proceed to step 4:
The number 39 fits into 251 6 times, leaving a remainder of 17.
The number 6 becomes the next digit in our result. 
Result so far: 106.0
The remainder is 17 after subtracting 234 from 251.
Grab the next digit (6) from the dividend, add it to 17, then carry on: 176 / 39

Step 5:
39 goes into 176 4 times with a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 1064.0
Subtracting 156 from 176 leaves us with 20.
Append the next digit (6) from the dividend to 20 and continue with: 206 / 39

Step 6:
39 can be fit into 206 5 times, resulting in a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 10645.0
If we take 195 away from 206, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
110 divided by 39 is 2 with a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 10645.2
Subtracting 78 from 110 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 8:
320 divided by 39 is 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 10645.28
If we take 312 away from 320, we end up with 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 39, we get 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 10645.282
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
When dividing 20 by 39, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 10645.282
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
If we divide 200 by 39, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 10645.28205
Subtracting 195 from 200 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 12:
When dividing 50 by 39, we get 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 10645.282051
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 13:
When dividing 110 by 39, we get 2 with a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 10645.2820512
The remainder is 32 after subtracting 78 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 14:
320 divided by 39 is 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 10645.28205128
If we take 312 away from 320, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 10645.28205128 with a balance of 8e-09.