16642 ÷ 34 
We want to figure out the number of times 16642 can be divided by 34.

Let's proceed to step 1:
If we divide 1 by 34, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 34

On to step 2:
When dividing 16 by 34, we get 0 with a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 16, we get 16.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 34

Let's proceed to step 3:
34 goes into 166 4 times with a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 136 away from 166, we end up with 30.
Grab the next digit (4) from the dividend, add it to 30, then carry on: 304 / 34

Advancing to step 4:
34 can be fit into 304 8 times, resulting in a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 48.0
If we take 272 away from 304, we end up with 32.
Append the next digit (2) from the dividend to 32 and continue with: 322 / 34

On to step 5:
322 divided by 34 is 9 with a remainder of 16.
Use 9 as the next digit of our solution. 
Result so far: 489.0
The remainder is 16 after subtracting 306 from 322.
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 6:
160 divided by 34 is 4 with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 489.4
If we subtract 136 from 160, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 7:
When dividing 240 by 34, we get 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 489.47
Subtracting 238 from 240 leaves us 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 8:
34 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 489.47
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.

Advancing to step 9:
If we divide 200 by 34, we get 5 and a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 489.4705
If we take 170 away from 200, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 10:
300 divided by 34 is 8 with a remainder of 28.
The next digit of our result is 8. 
Result so far: 489.47058
Subtract 272 from 300 to 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.

Let's proceed to step 11:
If we divide 280 by 34, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 489.470588
If we subtract 272 from 280, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 489.470588 with a balance of 8e-07.