We're dividing 334270 by 53 
We want to figure out the number of times 334270 can be divided by 53.

Let's proceed to step 1:
The number 53 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 53

Step 2:
53 goes into 33 0 times with a remainder of 33.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 33, we end up with 33.
Include the next digit (4) from the dividend after 33, then repeat: 334 / 53

On to step 3:
When dividing 334 by 53, we get 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 318 from 334 to get 16.
Include the next digit (2) from the dividend after 16, then repeat: 162 / 53

On to step 4:
53 can be fit into 162 3 times, resulting in a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 63.0
If we subtract 159 from 162, we get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 53

Let's proceed to step 5:
When dividing 37 by 53, we get 0 with a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 630.0
If we subtract 0 from 37, we get 37.
Take the next digit (0) from the dividend and append it to 37, then repeat: 370 / 53

Advancing to step 6:
370 divided by 53 is 6 with a remainder of 52.
Write down 6 as next digit of the result. 
Result so far: 6306.0
Subtracting 318 from 370 leaves us 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 7:
520 divided by 53 is 9 with a remainder of 43.
Put 9 as the next digit of the answer. 
Result so far: 6306.9
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.

Step 8:
430 divided by 53 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 6306.98
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.

Moving on to step 9:
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: 6306.981
If we take 53 away from 60, we end up 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.

Step 10:
53 goes into 70 1 times with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 6306.9811
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.

After the division, we end up with 6306.9811 and a remainder of 0.00017.