We look at the division of 388314 by 46 
Our goal is to divide 388314 by 46.

Step 1:
The number 46 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 46

Step 2:
46 can be fit into 38 0 times, resulting in a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 38 and we're left with 38.
Fetch the next digit (8) from the dividend, attach it to 38 and continue: 388 / 46

On to step 3:
46 goes into 388 8 times with a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we subtract 368 from 388, we get 20.
Append the next digit (3) from the dividend to 20 and continue with: 203 / 46

Step 4:
46 goes into 203 4 times with a remainder of 19.
Use 4 as the next digit of our solution. 
Result so far: 84.0
The remainder is 19 after subtracting 184 from 203.
Take the next digit (1) from the dividend and append it to 19, then repeat: 191 / 46

Moving on to step 5:
191 divided by 46 is 4 with a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 844.0
If we take 184 away from 191, we end up with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 46

Advancing to step 6:
If we divide 74 by 46, we get 1 and a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 8441.0
If we take 46 away from 74, 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.

Let's proceed to step 7:
When dividing 280 by 46, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 8441.6
Subtracting 276 from 280 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
40 divided by 46 is 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 8441.6
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.

Advancing to step 9:
The number 46 fits into 400 8 times, leaving a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 8441.608
If we take 368 away from 400, we end up 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.

Going ahead to step 10:
46 goes into 320 6 times with a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 8441.6086
Subtract 276 from 320 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 11:
When dividing 440 by 46, we get 9 with a remainder of 26.
Put 9 as the next digit of the answer. 
Result so far: 8441.60869
If we subtract 414 from 440, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 12:
The number 46 fits into 260 5 times, leaving a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 8441.608695
Subtract 230 from 260 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.

Moving on to step 13:
46 goes into 300 6 times with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 8441.6086956
If we take 276 away from 300, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 14:
46 goes into 240 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 8441.60869565
Deduct 230 from 240 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 8441.60869565 with a remainder of 1e-08.