603813 ÷ 55 
Our goal is to divide 603813 by 55.

Going ahead to step 1:
55 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 55

Moving on to step 2:
55 goes into 60 1 times with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 55 from 60 and we're left with 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 55

Let's proceed to step 3:
55 goes into 53 0 times with a remainder of 53.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 53, we end up with 53.
Grab the next digit (8) from the dividend, add it to 53, then carry on: 538 / 55

On to step 4:
538 divided by 55 is 9 with a remainder of 43.
The next digit of our result is 9. 
Result so far: 109.0
If we take 495 away from 538, we end up with 43.
Bring next digit (1) of the dividend behind the 43 and repeat the process: 431 / 55

Step 5:
431 divided by 55 is 7 with a remainder of 46.
The next digit of our result is 7. 
Result so far: 1097.0
If we take 385 away from 431, we end up with 46.
Take the next digit (3) from the dividend and append it to 46, then repeat: 463 / 55

Let's proceed to step 6:
55 goes into 463 8 times with a remainder of 23.
The number 8 becomes the next digit in our result. 
Result so far: 10978.0
The remainder is 23 after subtracting 440 from 463.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 7:
The number 55 fits into 230 4 times, leaving a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 10978.4
The remainder is 10 after subtracting 220 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
When dividing 100 by 55, we get 1 with a remainder of 45.
The number 1 becomes the next digit in our result. 
Result so far: 10978.41
Subtract 55 from 100 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 9:
If we divide 450 by 55, we get 8 and a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 10978.418
Subtracting 440 from 450 leaves us 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.

Step 10:
55 goes into 100 1 times with a remainder of 45.
Put 1 as the next digit of the answer. 
Result so far: 10978.4181
Subtract 55 from 100 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 11:
450 divided by 55 is 8 with a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 10978.41818
If we subtract 440 from 450, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 12:
When dividing 100 by 55, we get 1 with a remainder of 45.
The next digit of our result is 1. 
Result so far: 10978.418181
If we subtract 55 from 100, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 13:
450 divided by 55 is 8 with a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 10978.4181818
Subtracting 440 from 450 leaves us 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.

Step 14:
55 goes into 100 1 times with a remainder of 45.
The next digit of our result is 1. 
Result so far: 10978.41818181
Deduct 55 from 100 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

After the division, we end up with 10978.41818181 and a remainder of 4.5e-08.