We're dividing 263218 by 46 
We're looking to find how many times 46 goes into 263218.

Step 1:
If we divide 2 by 46, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 46

Going ahead to step 2:
If we divide 26 by 46, we get 0 and a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 26 and we're left with 26.
Append the next digit (3) from the dividend to 26 and continue with: 263 / 46

Advancing to step 3:
263 divided by 46 is 5 with a remainder of 33.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 230 from 263 and we're left with 33.
Take the next digit (2) from the dividend and append it to 33, then repeat: 332 / 46

On to step 4:
When dividing 332 by 46, we get 7 with a remainder of 10.
The next digit of our result is 7. 
Result so far: 57.0
Subtracting 322 from 332 leaves us with 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 46

On to step 5:
If we divide 101 by 46, we get 2 and a remainder of 9.
The next digit of our result is 2. 
Result so far: 572.0
If we take 92 away from 101, we end up with 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 46

Moving on to step 6:
If we divide 98 by 46, we get 2 and a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 5722.0
The remainder is 6 after subtracting 92 from 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
60 divided by 46 is 1 with a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 5722.1
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.

Going ahead to step 8:
46 goes into 140 3 times with a remainder of 2.
The next digit of our result is 3. 
Result so far: 5722.13
The remainder is 2 after subtracting 138 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
46 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 5722.13
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 10:
200 divided by 46 is 4 with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 5722.1304
Subtract 184 from 200 to 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.

Going ahead to step 11:
46 goes into 160 3 times with a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 5722.13043
If we take 138 away from 160, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 12:
220 divided by 46 is 4 with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 5722.130434
Subtract 184 from 220 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 13:
46 can be fit into 360 7 times, resulting in a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 5722.1304347
Subtracting 322 from 360 leaves us 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.

Moving on to step 14:
46 can be fit into 380 8 times, resulting in a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 5722.13043478
Subtracting 368 from 380 leaves us 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.

In conclusion, the division gives 5722.13043478 with a balance of 1.2e-08.