559646 ÷ 46 
We want to figure out the number of times 559646 can be divided by 46.

Moving on to step 1:
46 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 46

Moving on to step 2:
46 can be fit into 55 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 46 from 55, we get 9.
Bring next digit (9) of the dividend behind the 9 and repeat the process: 99 / 46

Moving on to step 3:
46 goes into 99 2 times with a remainder of 7.
The next digit of our result is 2. 
Result so far: 12.0
The remainder is 7 after subtracting 92 from 99.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 46

Let's proceed to step 4:
46 goes into 76 1 times with a remainder of 30.
Use 1 as the next digit of our solution. 
Result so far: 121.0
Subtracting 46 from 76 leaves us with 30.
Append the next digit (4) from the dividend to 30 and continue with: 304 / 46

On to step 5:
When dividing 304 by 46, we get 6 with a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 1216.0
Subtract 276 from 304 to get 28.
Append the next digit (6) from the dividend to 28 and continue with: 286 / 46

Advancing to step 6:
46 goes into 286 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 12166.0
The remainder is 10 after subtracting 276 from 286.
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 7:
100 divided by 46 is 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 12166.2
If we subtract 92 from 100, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
If we divide 80 by 46, we get 1 and a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 12166.21
If we take 46 away from 80, we end up with 34.
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 9:
340 divided by 46 is 7 with a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 12166.217
Subtract 322 from 340 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 10:
If we divide 180 by 46, we get 3 and a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 12166.2173
Subtract 138 from 180 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 11:
The number 46 fits into 420 9 times, leaving a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 12166.21739
If we take 414 away from 420, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
46 goes into 60 1 times with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 12166.217391
Subtract 46 from 60 to get 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 13:
46 goes into 140 3 times with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 12166.2173913
Deduct 138 from 140 and we're left with 2.
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 14:
46 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 12166.2173913
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 12166.2173913 with a balance of 2e-08.