We look at the division of 342679 by 53 
We're looking to find how many times 53 goes into 342679.

Step 1:
When dividing 3 by 53, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 53

Moving on to step 2:
53 goes into 34 0 times with a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Fetch the next digit (2) from the dividend, attach it to 34 and continue: 342 / 53

Step 3:
342 divided by 53 is 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 24 after subtracting 318 from 342.
Append the next digit (6) from the dividend to 24 and continue with: 246 / 53

On to step 4:
53 can be fit into 246 4 times, resulting in a remainder of 34.
Use 4 as the next digit of our solution. 
Result so far: 64.0
Deduct 212 from 246 and we're left with 34.
Append the next digit (7) from the dividend to 34 and continue with: 347 / 53

On to step 5:
When dividing 347 by 53, we get 6 with a remainder of 29.
Use 6 as the next digit of our solution. 
Result so far: 646.0
If we subtract 318 from 347, we get 29.
Grab the next digit (9) from the dividend, add it to 29, then carry on: 299 / 53

Step 6:
53 can be fit into 299 5 times, resulting in a remainder of 34.
The number 5 becomes the next digit in our result. 
Result so far: 6465.0
If we take 265 away from 299, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
53 can be fit into 340 6 times, resulting in a remainder of 22.
The number 6 becomes the next digit in our result. 
Result so far: 6465.6
Subtract 318 from 340 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
53 can be fit into 220 4 times, resulting in a remainder of 8.
The next digit of our result is 4. 
Result so far: 6465.64
The remainder is 8 after subtracting 212 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
If we divide 80 by 53, we get 1 and a remainder of 27.
The number 1 becomes the next digit in our result. 
Result so far: 6465.641
Subtracting 53 from 80 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 10:
270 divided by 53 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 6465.6415
Subtracting 265 from 270 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 11:
If we divide 50 by 53, we get 0 and a remainder of 50.
The next digit of our result is 0. 
Result so far: 6465.6415
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 12:
53 can be fit into 500 9 times, resulting in a remainder of 23.
The next digit of our result is 9. 
Result so far: 6465.641509
Deduct 477 from 500 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 13:
If we divide 230 by 53, we get 4 and a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 6465.6415094
The remainder is 18 after subtracting 212 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 14:
The number 53 fits into 180 3 times, leaving a remainder of 21.
The next digit of our result is 3. 
Result so far: 6465.64150943
Deduct 159 from 180 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

After the division, we end up with 6465.64150943 and a remainder of 2.1e-08.