Let's divide 338289 by 53
We're looking to find how many times 53 goes into 338289.

Let's proceed to step 1:
If we divide 3 by 53, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 53

Advancing to step 2:
When dividing 33 by 53, we get 0 with a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 33 and we're left with 33.
Append the next digit (8) from the dividend to 33 and continue with: 338 / 53

Moving on to step 3:
53 goes into 338 6 times with a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 318 from 338 leaves us with 20.
Include the next digit (2) from the dividend after 20, then repeat: 202 / 53

On to step 4:
If we divide 202 by 53, we get 3 and a remainder of 43.
The next digit of our result is 3. 
Result so far: 63.0
Deduct 159 from 202 and we're left with 43.
Include the next digit (8) from the dividend after 43, then repeat: 438 / 53

Step 5:
The number 53 fits into 438 8 times, leaving a remainder of 14.
The next digit of our result is 8. 
Result so far: 638.0
Deduct 424 from 438 and we're left with 14.
Include the next digit (9) from the dividend after 14, then repeat: 149 / 53

Let's proceed to step 6:
If we divide 149 by 53, we get 2 and a remainder of 43.
Write down 2 as next digit of the result. 
Result so far: 6382.0
If we take 106 away from 149, 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.

Let's proceed to step 7:
The number 53 fits into 430 8 times, leaving a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 6382.8
Subtracting 424 from 430 leaves us 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.

Step 8:
When dividing 60 by 53, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 6382.81
Subtracting 53 from 60 leaves us 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.

Advancing to step 9:
The number 53 fits into 70 1 times, leaving a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 6382.811
The remainder is 17 after subtracting 53 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

In conclusion, the division gives 6382.811 with a balance of 0.0017.