We look at the division of 542259 by 46 
We want to figure out the number of times 542259 can be divided by 46.

Step 1:
The number 46 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 46

Moving on to step 2:
46 can be fit into 54 1 times, resulting in a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 46 from 54 leaves us with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 46

Let's proceed to step 3:
When dividing 82 by 46, we get 1 with a remainder of 36.
The next digit of our result is 1. 
Result so far: 11.0
Subtracting 46 from 82 leaves us with 36.
Include the next digit (2) from the dividend after 36, then repeat: 362 / 46

Let's proceed to step 4:
When dividing 362 by 46, we get 7 with a remainder of 40.
Write down 7 as next digit of the result. 
Result so far: 117.0
Subtract 322 from 362 to get 40.
Append the next digit (5) from the dividend to 40 and continue with: 405 / 46

Moving on to step 5:
46 goes into 405 8 times with a remainder of 37.
The number 8 becomes the next digit in our result. 
Result so far: 1178.0
If we take 368 away from 405, we end up with 37.
Bring next digit (9) of the dividend behind the 37 and repeat the process: 379 / 46

On to step 6:
When dividing 379 by 46, we get 8 with a remainder of 11.
The next digit of our result is 8. 
Result so far: 11788.0
Deduct 368 from 379 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
110 divided by 46 is 2 with a remainder of 18.
The next digit of our result is 2. 
Result so far: 11788.2
The remainder is 18 after subtracting 92 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 8:
46 goes into 180 3 times with a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 11788.23
If we subtract 138 from 180, we 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.

Moving on to step 9:
The number 46 fits into 420 9 times, leaving a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 11788.239
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.

On to step 10:
When dividing 60 by 46, we get 1 with a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 11788.2391
Deduct 46 from 60 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 11:
If we divide 140 by 46, we get 3 and a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 11788.23913
Subtract 138 from 140 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 12:
46 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 11788.23913
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
When dividing 200 by 46, we get 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 11788.2391304
The remainder is 16 after subtracting 184 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 14:
If we divide 160 by 46, we get 3 and a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 11788.23913043
If we take 138 away from 160, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Our division results in 11788.23913043 with a remaining 2.2e-08.