We look at the division of 461579 by 46 
Our goal is to divide 461579 by 46.

Let's proceed to step 1:
When dividing 4 by 46, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 46

Step 2:
46 can be fit into 46 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 46 from 46 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 46

Going ahead to step 3:
If we divide 1 by 46, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 1, we end up with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 46

On to step 4:
If we divide 15 by 46, we get 0 and a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 100.0
If we subtract 0 from 15, we get 15.
Take the next digit (7) from the dividend and append it to 15, then repeat: 157 / 46

Let's proceed to step 5:
157 divided by 46 is 3 with a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 1003.0
Subtract 138 from 157 to get 19.
Append the next digit (9) from the dividend to 19 and continue with: 199 / 46

On to step 6:
If we divide 199 by 46, we get 4 and a remainder of 15.
The number 4 becomes the next digit in our result. 
Result so far: 10034.0
Subtracting 184 from 199 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:
46 goes into 150 3 times with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 10034.3
Subtracting 138 from 150 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.

Going ahead to step 8:
The number 46 fits into 120 2 times, leaving a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 10034.32
Subtract 92 from 120 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
If we divide 280 by 46, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 10034.326
Subtract 276 from 280 to 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.

On to step 10:
46 goes into 40 0 times with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 10034.326
Deduct 0 from 40 and we're left 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.

Moving on to step 11:
46 goes into 400 8 times with a remainder of 32.
The next digit of our result is 8. 
Result so far: 10034.32608
Subtracting 368 from 400 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 12:
When dividing 320 by 46, we get 6 with a remainder of 44.
The next digit of our result is 6. 
Result so far: 10034.326086
If we subtract 276 from 320, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 13:
440 divided by 46 is 9 with a remainder of 26.
The next digit of our result is 9. 
Result so far: 10034.3260869
Subtracting 414 from 440 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 14:
When dividing 260 by 46, we get 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 10034.32608695
The remainder is 30 after subtracting 230 from 260.
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 10034.32608695 with a balance of 3e-08.