We're dividing 362903 by 53 
Let's see how many times 53 fits into 362903.

On to step 1:
When dividing 3 by 53, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 53

Moving on to step 2:
If we divide 36 by 53, we get 0 and a remainder of 36.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 36 after subtracting 0 from 36.
Grab the next digit (2) from the dividend, add it to 36, then carry on: 362 / 53

Step 3:
The number 53 fits into 362 6 times, leaving a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 318 from 362 to get 44.
Grab the next digit (9) from the dividend, add it to 44, then carry on: 449 / 53

On to step 4:
53 goes into 449 8 times with a remainder of 25.
Record the quotient 8 as the next digit in the result. 
Result so far: 68.0
Subtracting 424 from 449 leaves us with 25.
Take the next digit (0) from the dividend and append it to 25, then repeat: 250 / 53

Going ahead to step 5:
If we divide 250 by 53, we get 4 and a remainder of 38.
Write down 4 as next digit of the result. 
Result so far: 684.0
If we subtract 212 from 250, we get 38.
Take the next digit (3) from the dividend and append it to 38, then repeat: 383 / 53

Let's proceed to step 6:
383 divided by 53 is 7 with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 6847.0
Subtract 371 from 383 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
53 goes into 120 2 times with a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 6847.2
If we subtract 106 from 120, 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.

Going ahead to step 8:
The number 53 fits into 140 2 times, leaving a remainder of 34.
Use 2 as the next digit of our solution. 
Result so far: 6847.22
If we take 106 away from 140, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

After the division, we end up with 6847.22 and a remainder of 0.034.