We look at the division of 39166 by 46 
We want to divide 39166 by 46.

Step 1:
The number 46 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 46

Moving on to step 2:
46 can be fit into 39 0 times, resulting in a remainder of 39.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 39, we get 39.
Fetch the next digit (1) from the dividend, attach it to 39 and continue: 391 / 46

Advancing to step 3:
The number 46 fits into 391 8 times, leaving a remainder of 23.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 368 from 391 to get 23.
Bring next digit (6) of the dividend behind the 23 and repeat the process: 236 / 46

Going ahead to step 4:
If we divide 236 by 46, we get 5 and a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 85.0
If we subtract 230 from 236, we get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 46

Let's proceed to step 5:
46 goes into 66 1 times with a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 851.0
If we take 46 away from 66, we end up 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.

Let's proceed to step 6:
46 can be fit into 200 4 times, resulting in a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 851.4
If we subtract 184 from 200, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 7:
46 can be fit into 160 3 times, resulting in a remainder of 22.
The number 3 becomes the next digit in our result. 
Result so far: 851.43
If we take 138 away from 160, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 8:
When dividing 220 by 46, we get 4 with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 851.434
The remainder is 36 after subtracting 184 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
46 goes into 360 7 times with a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 851.4347
Subtracting 322 from 360 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 10:
When dividing 380 by 46, we get 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 851.43478
If we subtract 368 from 380, we 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.

Step 11:
46 can be fit into 120 2 times, resulting in a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 851.434782
If we take 92 away from 120, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 12:
If we divide 280 by 46, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 851.4347826
Subtract 276 from 280 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
If we divide 40 by 46, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 851.4347826
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Our division results in 851.4347826 with a remaining 4e-08.