338604 ÷ 53 
Let's see how many times 53 fits into 338604.

Step 1:
53 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 53

Let's proceed to step 2:
53 can be fit into 33 0 times, resulting in 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

Going ahead to step 3:
The number 53 fits into 338 6 times, leaving a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 318 from 338 to get 20.
Fetch the next digit (6) from the dividend, attach it to 20 and continue: 206 / 53

On to step 4:
When dividing 206 by 53, we get 3 with a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 63.0
If we take 159 away from 206, we end up with 47.
Bring next digit (0) of the dividend behind the 47 and repeat the process: 470 / 53

Going ahead to step 5:
When dividing 470 by 53, we get 8 with a remainder of 46.
Write down 8 as next digit of the result. 
Result so far: 638.0
Subtract 424 from 470 to get 46.
Bring next digit (4) of the dividend behind the 46 and repeat the process: 464 / 53

Advancing to step 6:
464 divided by 53 is 8 with a remainder of 40.
The next digit of our result is 8. 
Result so far: 6388.0
If we take 424 away from 464, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 7:
When dividing 400 by 53, we get 7 with a remainder of 29.
The next digit of our result is 7. 
Result so far: 6388.7
The remainder is 29 after subtracting 371 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 8:
When dividing 290 by 53, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 6388.75
If we take 265 away from 290, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
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: 6388.754
If we subtract 212 from 250, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 10:
The number 53 fits into 380 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 6388.7547
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.

Going ahead to step 11:
When dividing 90 by 53, we get 1 with a remainder of 37.
Use 1 as the next digit of our solution. 
Result so far: 6388.75471
If we subtract 53 from 90, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 12:
The number 53 fits into 370 6 times, leaving a remainder of 52.
Use 6 as the next digit of our solution. 
Result so far: 6388.754716
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 13:
53 can be fit into 520 9 times, resulting in a remainder of 43.
Write down 9 as next digit of the result. 
Result so far: 6388.7547169
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.

On to step 14:
430 divided by 53 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 6388.75471698
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.

In conclusion, the division gives 6388.75471698 with a balance of 6e-09.