We look at the division of 553916 by 46 
Our goal is to divide 553916 by 46.

Step 1:
If we divide 5 by 46, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 46

Advancing to step 2:
The number 46 fits into 55 1 times, leaving a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 46 from 55 leaves us with 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 46

Step 3:
46 can be fit into 93 2 times, resulting in a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtracting 92 from 93 leaves us with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 46

Let's proceed to step 4:
If we divide 19 by 46, we get 0 and a remainder of 19.
The number 0 becomes the next digit in our result. 
Result so far: 120.0
If we take 0 away from 19, we end up with 19.
Grab the next digit (1) from the dividend, add it to 19, then carry on: 191 / 46

Advancing to step 5:
46 can be fit into 191 4 times, resulting in a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 1204.0
Subtracting 184 from 191 leaves us with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 46

Let's proceed to step 6:
The number 46 fits into 76 1 times, leaving a remainder of 30.
Use 1 as the next digit of our solution. 
Result so far: 12041.0
If we take 46 away from 76, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 7:
46 can be fit into 300 6 times, resulting in a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 12041.6
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.

Step 8:
240 divided by 46 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 12041.65
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.

Going ahead to step 9:
If we divide 100 by 46, we get 2 and a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 12041.652
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.

Let's proceed to step 10:
80 divided by 46 is 1 with a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 12041.6521
The remainder is 34 after subtracting 46 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 11:
If we divide 340 by 46, we get 7 and a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 12041.65217
If we take 322 away from 340, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 12:
180 divided by 46 is 3 with a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 12041.652173
If we take 138 away from 180, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 13:
46 can be fit into 420 9 times, resulting in a remainder of 6.
The next digit of our result is 9. 
Result so far: 12041.6521739
Deduct 414 from 420 and we're left 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 14:
46 can be fit into 60 1 times, resulting in a remainder of 14.
The next digit of our result is 1. 
Result so far: 12041.65217391
If we subtract 46 from 60, we 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.

After the division, we end up with 12041.65217391 and a remainder of 1.4e-08.