We're dividing 558437 by 46 
Our goal is to divide 558437 by 46.

On to step 1:
5 divided by 46 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 46

On to step 2:
If we divide 55 by 46, we get 1 and a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 46 from 55 and we're left with 9.
Take the next digit (8) from the dividend and append it to 9, then repeat: 98 / 46

Step 3:
When dividing 98 by 46, we get 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtract 92 from 98 to get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 46

On to step 4:
The number 46 fits into 64 1 times, leaving a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 121.0
Deduct 46 from 64 and we're left with 18.
Take the next digit (3) from the dividend and append it to 18, then repeat: 183 / 46

Moving on to step 5:
When dividing 183 by 46, we get 3 with a remainder of 45.
Record the quotient 3 as the next digit in the result. 
Result so far: 1213.0
Subtracting 138 from 183 leaves us with 45.
Append the next digit (7) from the dividend to 45 and continue with: 457 / 46

Let's proceed to step 6:
46 goes into 457 9 times with a remainder of 43.
The number 9 becomes the next digit in our result. 
Result so far: 12139.0
Deduct 414 from 457 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 7:
46 goes into 430 9 times with a remainder of 16.
Put 9 as the next digit of the answer. 
Result so far: 12139.9
The remainder is 16 after subtracting 414 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 8:
The number 46 fits into 160 3 times, leaving a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 12139.93
Subtract 138 from 160 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 9:
220 divided by 46 is 4 with a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 12139.934
If we subtract 184 from 220, we 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 10:
When dividing 360 by 46, we get 7 with a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 12139.9347
Deduct 322 from 360 and we're left 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.

Going ahead to step 11:
380 divided by 46 is 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 12139.93478
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.

Going ahead to step 12:
46 goes into 120 2 times with a remainder of 28.
The next digit of our result is 2. 
Result so far: 12139.934782
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.

Let's proceed to step 13:
46 goes into 280 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 12139.9347826
If we take 276 away from 280, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
40 divided by 46 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 12139.9347826
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 12139.9347826 and a remainder of 4e-08.