We're dividing 298322 by 53 
Our goal is to divide 298322 by 53.

Going ahead to step 1:
53 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 53

Advancing to step 2:
When dividing 29 by 53, we get 0 with a remainder of 29.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 29, we get 29.
Append the next digit (8) from the dividend to 29 and continue with: 298 / 53

On to step 3:
When dividing 298 by 53, we get 5 with a remainder of 33.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 265 from 298 and we're left with 33.
Include the next digit (3) from the dividend after 33, then repeat: 333 / 53

On to step 4:
53 can be fit into 333 6 times, resulting in a remainder of 15.
The next digit of our result is 6. 
Result so far: 56.0
If we subtract 318 from 333, we get 15.
Bring next digit (2) of the dividend behind the 15 and repeat the process: 152 / 53

On to step 5:
When dividing 152 by 53, we get 2 with a remainder of 46.
Use 2 as the next digit of our solution. 
Result so far: 562.0
If we subtract 106 from 152, we get 46.
Append the next digit (2) from the dividend to 46 and continue with: 462 / 53

Advancing to step 6:
462 divided by 53 is 8 with a remainder of 38.
Put 8 as the next digit of the answer. 
Result so far: 5628.0
The remainder is 38 after subtracting 424 from 462.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 7:
53 can be fit into 380 7 times, resulting in a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 5628.7
If we take 371 away from 380, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 8:
The number 53 fits into 90 1 times, leaving a remainder of 37.
Put 1 as the next digit of the answer. 
Result so far: 5628.71
The remainder is 37 after subtracting 53 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 9:
If we divide 370 by 53, we get 6 and a remainder of 52.
The number 6 becomes the next digit in our result. 
Result so far: 5628.716
Deduct 318 from 370 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 10:
The number 53 fits into 520 9 times, leaving a remainder of 43.
Record the quotient 9 as the next digit in the result. 
Result so far: 5628.7169
If we take 477 away from 520, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 11:
430 divided by 53 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 5628.71698
Deduct 424 from 430 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 12:
53 can be fit into 60 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 5628.716981
Deduct 53 from 60 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 13:
70 divided by 53 is 1 with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 5628.7169811
If we take 53 away from 70, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Our division results in 5628.7169811 with a remaining 1.7e-07.