557938 divided by 46 
We're looking to find how many times 46 goes into 557938.

Step 1:
If we divide 5 by 46, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 46

Moving on to step 2:
When dividing 55 by 46, we get 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 46 from 55 to get 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 46

On to step 3:
46 can be fit into 97 2 times, resulting in a remainder of 5.
The next digit of our result is 2. 
Result so far: 12.0
If we take 92 away from 97, we end up with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 46

Going ahead to step 4:
The number 46 fits into 59 1 times, leaving a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 121.0
The remainder is 13 after subtracting 46 from 59.
Include the next digit (3) from the dividend after 13, then repeat: 133 / 46

Advancing to step 5:
133 divided by 46 is 2 with a remainder of 41.
Record the quotient 2 as the next digit in the result. 
Result so far: 1212.0
Deduct 92 from 133 and we're left with 41.
Include the next digit (8) from the dividend after 41, then repeat: 418 / 46

Step 6:
When dividing 418 by 46, we get 9 with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 12129.0
The remainder is 4 after subtracting 414 from 418.
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 7:
46 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 12129.0
If we subtract 0 from 40, we 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.

Let's proceed to step 8:
If we divide 400 by 46, we get 8 and a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 12129.08
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.

Step 9:
46 goes into 320 6 times with a remainder of 44.
The next digit of our result is 6. 
Result so far: 12129.086
If we take 276 away from 320, we end up 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.

Advancing to step 10:
If we divide 440 by 46, we get 9 and a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 12129.0869
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.

Moving on to step 11:
260 divided by 46 is 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 12129.08695
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.

Going ahead to step 12:
When dividing 300 by 46, we get 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 12129.086956
If we subtract 276 from 300, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 13:
46 can be fit into 240 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 12129.0869565
If we take 230 away from 240, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 14:
46 can be fit into 100 2 times, resulting in a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 12129.08695652
Subtracting 92 from 100 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 12129.08695652 and a remainder of 8e-09.