We're dividing 653332 by 34 
We want to figure out the number of times 653332 can be divided by 34.

Advancing to step 1:
6 divided by 34 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 34

Moving on to step 2:
65 divided by 34 is 1 with a remainder of 31.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 34 from 65 and we're left with 31.
Append the next digit (3) from the dividend to 31 and continue with: 313 / 34

Moving on to step 3:
The number 34 fits into 313 9 times, leaving a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 19.0
Subtract 306 from 313 to get 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 34

On to step 4:
The number 34 fits into 73 2 times, leaving a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 192.0
Subtracting 68 from 73 leaves us with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 34

On to step 5:
When dividing 53 by 34, we get 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 1921.0
If we take 34 away from 53, we end up with 19.
Take the next digit (2) from the dividend and append it to 19, then repeat: 192 / 34

Going ahead to step 6:
192 divided by 34 is 5 with a remainder of 22.
The number 5 becomes the next digit in our result. 
Result so far: 19215.0
The remainder is 22 after subtracting 170 from 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
The number 34 fits into 220 6 times, leaving a remainder of 16.
The next digit of our result is 6. 
Result so far: 19215.6
Deduct 204 from 220 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 8:
The number 34 fits into 160 4 times, leaving a remainder of 24.
The next digit of our result is 4. 
Result so far: 19215.64
Deduct 136 from 160 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 9:
34 can be fit into 240 7 times, resulting in a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 19215.647
Deduct 238 from 240 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
34 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 19215.647
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
The number 34 fits into 200 5 times, leaving a remainder of 30.
The next digit of our result is 5. 
Result so far: 19215.64705
If we subtract 170 from 200, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
When dividing 300 by 34, we get 8 with a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 19215.647058
If we subtract 272 from 300, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 13:
The number 34 fits into 280 8 times, leaving a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 19215.6470588
Subtracting 272 from 280 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 19215.6470588, and the remainder is 8e-08.