We're dividing 554306 by 46 
We want to figure out the number of times 554306 can be divided by 46.

Going ahead to step 1:
5 divided by 46 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 46

Going ahead to step 2:
46 can be fit into 55 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 46 from 55 and we're left with 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 46

Advancing to step 3:
When dividing 94 by 46, we get 2 with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtract 92 from 94 to get 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 46

Advancing to step 4:
23 divided by 46 is 0 with a remainder of 23.
The number 0 becomes the next digit in our result. 
Result so far: 120.0
If we subtract 0 from 23, we get 23.
Bring next digit (0) of the dividend behind the 23 and repeat the process: 230 / 46

Moving on to step 5:
The number 46 fits into 230 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 1205.0
The remainder is 0 after subtracting 230 from 230.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 46

Moving on to step 6:
6 divided by 46 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 12050.0
The remainder is 6 after subtracting 0 from 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 7:
The number 46 fits into 60 1 times, leaving a remainder of 14.
The next digit of our result is 1. 
Result so far: 12050.1
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 8:
The number 46 fits into 140 3 times, leaving a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 12050.13
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.

Step 9:
20 divided by 46 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 12050.13
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 10:
46 can be fit into 200 4 times, resulting in a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 12050.1304
If we take 184 away from 200, we end up with 16.
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 11:
When dividing 160 by 46, we get 3 with a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 12050.13043
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.

Step 12:
46 can be fit into 220 4 times, resulting in a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 12050.130434
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.

Advancing to step 13:
The number 46 fits into 360 7 times, leaving a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 12050.1304347
If we subtract 322 from 360, we get 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 14:
46 goes into 380 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 12050.13043478
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.

The final result is 12050.13043478 with a remainder of 1.2e-08.