We look at the division of 349638 by 46 
We want to divide 349638 by 46.

Let's proceed to step 1:
When dividing 3 by 46, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 46

Moving on to step 2:
If we divide 34 by 46, we get 0 and a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Append the next digit (9) from the dividend to 34 and continue with: 349 / 46

On to step 3:
The number 46 fits into 349 7 times, leaving a remainder of 27.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 322 from 349 and we're left with 27.
Include the next digit (6) from the dividend after 27, then repeat: 276 / 46

Step 4:
46 can be fit into 276 6 times, resulting in a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 76.0
If we take 276 away from 276, we end up with 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 46

Step 5:
If we divide 3 by 46, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 760.0
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

On to step 6:
If we divide 38 by 46, we get 0 and a remainder of 38.
Use 0 as the next digit of our solution. 
Result so far: 7600.0
Subtract 0 from 38 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 7:
380 divided by 46 is 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 7600.8
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.

Going ahead to step 8:
The number 46 fits into 120 2 times, leaving a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 7600.82
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.

Step 9:
The number 46 fits into 280 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 7600.826
Deduct 276 from 280 and we're left 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 10:
When dividing 40 by 46, we get 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 7600.826
If we subtract 0 from 40, we 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.

On to step 11:
46 goes into 400 8 times with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 7600.82608
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.

Advancing to step 12:
If we divide 320 by 46, we get 6 and a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 7600.826086
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.

Going ahead to step 13:
When dividing 440 by 46, we get 9 with a remainder of 26.
The next digit of our result is 9. 
Result so far: 7600.8260869
Deduct 414 from 440 and we're left 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 14:
If we divide 260 by 46, we get 5 and a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 7600.82608695
Subtracting 230 from 260 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 7600.82608695 with a remaining 3e-08.