We divide 256603 by 46
We're looking to find how many times 46 goes into 256603.

Let's proceed to step 1:
When dividing 2 by 46, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 46

Step 2:
If we divide 25 by 46, we get 0 and a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Append the next digit (6) from the dividend to 25 and continue with: 256 / 46

On to step 3:
If we divide 256 by 46, we get 5 and a remainder of 26.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 26 after subtracting 230 from 256.
Grab the next digit (6) from the dividend, add it to 26, then carry on: 266 / 46

Advancing to step 4:
If we divide 266 by 46, we get 5 and a remainder of 36.
Write down 5 as next digit of the result. 
Result so far: 55.0
If we subtract 230 from 266, we get 36.
Append the next digit (0) from the dividend to 36 and continue with: 360 / 46

Moving on to step 5:
46 goes into 360 7 times with a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 557.0
The remainder is 38 after subtracting 322 from 360.
Include the next digit (3) from the dividend after 38, then repeat: 383 / 46

On to step 6:
If we divide 383 by 46, we get 8 and a remainder of 15.
Record the quotient 8 as the next digit in the result. 
Result so far: 5578.0
Subtracting 368 from 383 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
If we divide 150 by 46, we get 3 and a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 5578.3
If we subtract 138 from 150, 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.

Step 8:
If we divide 120 by 46, we get 2 and a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 5578.32
Deduct 92 from 120 and we're left 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.

On to step 9:
The number 46 fits into 280 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 5578.326
The remainder is 4 after subtracting 276 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
When dividing 40 by 46, we get 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 5578.326
If we take 0 away from 40, we end up with 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: 5578.32608
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.

Advancing to step 12:
The number 46 fits into 320 6 times, leaving a remainder of 44.
The next digit of our result is 6. 
Result so far: 5578.326086
Subtracting 276 from 320 leaves us with 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:
46 goes into 440 9 times with a remainder of 26.
The next digit of our result is 9. 
Result so far: 5578.3260869
If we subtract 414 from 440, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 14:
260 divided by 46 is 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 5578.32608695
Deduct 230 from 260 and we're left 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.

In conclusion, the division gives 5578.32608695 with a balance of 3e-08.