We're dividing 349762 by 46 
We're looking to find how many times 46 goes into 349762.

Let's proceed to 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
Subtracting 0 from 3 leaves us with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 46

Going ahead to step 2:
46 goes into 34 0 times with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Include the next digit (9) from the dividend after 34, then repeat: 349 / 46

Going ahead to step 3:
349 divided by 46 is 7 with a remainder of 27.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 322 from 349 and we're left with 27.
Take the next digit (7) from the dividend and append it to 27, then repeat: 277 / 46

Going ahead to step 4:
277 divided by 46 is 6 with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 76.0
If we subtract 276 from 277, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 46

On to step 5:
If we divide 16 by 46, we get 0 and a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 760.0
Subtract 0 from 16 to get 16.
Bring next digit (2) of the dividend behind the 16 and repeat the process: 162 / 46

Step 6:
When dividing 162 by 46, we get 3 with a remainder of 24.
Write down 3 as next digit of the result. 
Result so far: 7603.0
Subtracting 138 from 162 leaves us 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.

Let's proceed to step 7:
If we divide 240 by 46, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 7603.5
Subtracting 230 from 240 leaves us 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.

Let's proceed to step 8:
46 can be fit into 100 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 7603.52
Deduct 92 from 100 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.

Step 9:
If we divide 80 by 46, we get 1 and a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 7603.521
The remainder is 34 after subtracting 46 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 10:
46 can be fit into 340 7 times, resulting in a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 7603.5217
Subtracting 322 from 340 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 11:
46 can be fit into 180 3 times, resulting in a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 7603.52173
Subtracting 138 from 180 leaves us 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 12:
46 goes into 420 9 times with a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 7603.521739
The remainder is 6 after subtracting 414 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
If we divide 60 by 46, we get 1 and a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 7603.5217391
Deduct 46 from 60 and we're left with 14.
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 14:
The number 46 fits into 140 3 times, leaving a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 7603.52173913
Subtract 138 from 140 to 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.

The quotient of the division is 7603.52173913, and the remainder is 2e-09.