We look at the division of 349102 by 46 
Our goal is to divide 349102 by 46.

Step 1:
3 divided by 46 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 46

Let's proceed to step 2:
When dividing 34 by 46, we get 0 with a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Append the next digit (9) from the dividend to 34 and continue with: 349 / 46

Moving on to step 3:
If we divide 349 by 46, we get 7 and a remainder of 27.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 322 from 349 to get 27.
Grab the next digit (1) from the dividend, add it to 27, then carry on: 271 / 46

Step 4:
271 divided by 46 is 5 with a remainder of 41.
Record the quotient 5 as the next digit in the result. 
Result so far: 75.0
The remainder is 41 after subtracting 230 from 271.
Append the next digit (0) from the dividend to 41 and continue with: 410 / 46

Let's proceed to step 5:
410 divided by 46 is 8 with a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 758.0
If we take 368 away from 410, we end up with 42.
Bring next digit (2) of the dividend behind the 42 and repeat the process: 422 / 46

Going ahead to step 6:
The number 46 fits into 422 9 times, leaving a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 7589.0
Deduct 414 from 422 and we're left 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.

Let's proceed to step 7:
When dividing 80 by 46, we get 1 with a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 7589.1
If we take 46 away from 80, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
The number 46 fits into 340 7 times, leaving a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 7589.17
Subtract 322 from 340 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 9:
When dividing 180 by 46, we get 3 with a remainder of 42.
Record the quotient 3 as the next digit in the result. 
Result so far: 7589.173
If we take 138 away from 180, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 10:
46 goes into 420 9 times with a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 7589.1739
Deduct 414 from 420 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 11:
The number 46 fits into 60 1 times, leaving a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 7589.17391
The remainder is 14 after subtracting 46 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 12:
46 goes into 140 3 times with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 7589.173913
If we subtract 138 from 140, 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.

Step 13:
When dividing 20 by 46, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 7589.173913
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 14:
The number 46 fits into 200 4 times, leaving a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 7589.17391304
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.

Our division results in 7589.17391304 with a remaining 1.6e-08.