Let's divide 579614 by 34
We want to figure out the number of times 579614 can be divided by 34.

On to step 1:
When dividing 5 by 34, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 34

Moving on to step 2:
When dividing 57 by 34, we get 1 with a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 34 from 57, we get 23.
Take the next digit (9) from the dividend and append it to 23, then repeat: 239 / 34

On to step 3:
The number 34 fits into 239 7 times, leaving a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 17.0
If we take 238 away from 239, we end up with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 34

On to step 4:
The number 34 fits into 16 0 times, leaving a remainder of 16.
The number 0 becomes the next digit in our result. 
Result so far: 170.0
Subtract 0 from 16 to get 16.
Take the next digit (1) from the dividend and append it to 16, then repeat: 161 / 34

Advancing to step 5:
34 goes into 161 4 times with a remainder of 25.
The number 4 becomes the next digit in our result. 
Result so far: 1704.0
Subtract 136 from 161 to get 25.
Bring next digit (4) of the dividend behind the 25 and repeat the process: 254 / 34

Moving on to step 6:
When dividing 254 by 34, we get 7 with a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 17047.0
If we take 238 away from 254, we end up 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.

On to step 7:
The number 34 fits into 160 4 times, leaving a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 17047.4
If we take 136 away from 160, we end up 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.

Step 8:
The number 34 fits into 240 7 times, leaving a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 17047.47
Subtract 238 from 240 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
20 divided by 34 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 17047.47
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 10:
34 can be fit into 200 5 times, resulting in a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 17047.4705
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.

Advancing to step 11:
34 can be fit into 300 8 times, resulting in a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 17047.47058
The remainder is 28 after subtracting 272 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 12:
The number 34 fits into 280 8 times, leaving a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 17047.470588
If we take 272 away from 280, we end up 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 17047.470588, and the remainder is 8e-07.