340509 ÷ 53 
Let's see how many times 53 fits into 340509.

Advancing to step 1:
When dividing 3 by 53, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 53

On to step 2:
The number 53 fits into 34 0 times, leaving a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Include the next digit (0) from the dividend after 34, then repeat: 340 / 53

Step 3:
53 goes into 340 6 times with a remainder of 22.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 318 from 340, we get 22.
Include the next digit (5) from the dividend after 22, then repeat: 225 / 53

Going ahead to step 4:
If we divide 225 by 53, we get 4 and a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 64.0
Subtract 212 from 225 to get 13.
Include the next digit (0) from the dividend after 13, then repeat: 130 / 53

Advancing to step 5:
When dividing 130 by 53, we get 2 with a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 642.0
The remainder is 24 after subtracting 106 from 130.
Fetch the next digit (9) from the dividend, attach it to 24 and continue: 249 / 53

Going ahead to step 6:
53 can be fit into 249 4 times, resulting in a remainder of 37.
Record the quotient 4 as the next digit in the result. 
Result so far: 6424.0
If we subtract 212 from 249, 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.

Let's proceed to step 7:
If we divide 370 by 53, we get 6 and a remainder of 52.
Record the quotient 6 as the next digit in the result. 
Result so far: 6424.6
If we take 318 away from 370, we end up 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.

Advancing to step 8:
53 goes into 520 9 times with a remainder of 43.
The number 9 becomes the next digit in our result. 
Result so far: 6424.69
The remainder is 43 after subtracting 477 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 9:
53 can be fit into 430 8 times, resulting in a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 6424.698
If we subtract 424 from 430, we get 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 10:
The number 53 fits into 60 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 6424.6981
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.

Moving on to step 11:
53 goes into 70 1 times with a remainder of 17.
The next digit of our result is 1. 
Result so far: 6424.69811
Deduct 53 from 70 and we're left 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.

The quotient of the division is 6424.69811, and the remainder is 1.7e-05.