We're dividing 338139 by 46 
We're looking to find how many times 46 goes into 338139.

Going ahead to step 1:
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: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 46

Step 2:
The number 46 fits into 33 0 times, leaving a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 33 to get 33.
Include the next digit (8) from the dividend after 33, then repeat: 338 / 46

On to step 3:
46 can be fit into 338 7 times, resulting in a remainder of 16.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 322 from 338 leaves us with 16.
Fetch the next digit (1) from the dividend, attach it to 16 and continue: 161 / 46

Going ahead to step 4:
If we divide 161 by 46, we get 3 and a remainder of 23.
Use 3 as the next digit of our solution. 
Result so far: 73.0
The remainder is 23 after subtracting 138 from 161.
Take the next digit (3) from the dividend and append it to 23, then repeat: 233 / 46

Moving on to step 5:
If we divide 233 by 46, we get 5 and a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 735.0
Deduct 230 from 233 and we're left with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 46

Advancing to step 6:
The number 46 fits into 39 0 times, leaving a remainder of 39.
The number 0 becomes the next digit in our result. 
Result so far: 7350.0
If we take 0 away from 39, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 7:
46 goes into 390 8 times with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 7350.8
If we subtract 368 from 390, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
If we divide 220 by 46, we get 4 and a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 7350.84
Subtracting 184 from 220 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 9:
46 can be fit into 360 7 times, resulting in a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 7350.847
Deduct 322 from 360 and we're left 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.

Step 10:
46 can be fit into 380 8 times, resulting in a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 7350.8478
Deduct 368 from 380 and we're left with 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 11:
If we divide 120 by 46, we get 2 and a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 7350.84782
The remainder is 28 after subtracting 92 from 120.
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 12:
When dividing 280 by 46, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 7350.847826
If we subtract 276 from 280, we 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.

Step 13:
The number 46 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 7350.847826
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.

On to step 14:
If we divide 400 by 46, we get 8 and a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 7350.84782608
The remainder is 32 after subtracting 368 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 7350.84782608 with a balance of 3.2e-08.