642410 divided by 34 
We're looking to find how many times 34 goes into 642410.

Let's proceed to step 1:
34 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 34

Let's proceed to step 2:
34 goes into 64 1 times with a remainder of 30.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 34 from 64 and we're left with 30.
Append the next digit (2) from the dividend to 30 and continue with: 302 / 34

Going ahead to step 3:
When dividing 302 by 34, we get 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 18.0
Subtracting 272 from 302 leaves us with 30.
Grab the next digit (4) from the dividend, add it to 30, then carry on: 304 / 34

Let's proceed to step 4:
304 divided by 34 is 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 188.0
Deduct 272 from 304 and we're left with 32.
Include the next digit (1) from the dividend after 32, then repeat: 321 / 34

Moving on to step 5:
34 goes into 321 9 times with a remainder of 15.
The next digit of our result is 9. 
Result so far: 1889.0
If we take 306 away from 321, we end up with 15.
Grab the next digit (0) from the dividend, add it to 15, then carry on: 150 / 34

Let's proceed to step 6:
150 divided by 34 is 4 with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 18894.0
The remainder is 14 after subtracting 136 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
If we divide 140 by 34, we get 4 and a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 18894.4
The remainder is 4 after subtracting 136 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
40 divided by 34 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 18894.41
If we take 34 away from 40, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
34 can be fit into 60 1 times, resulting in a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 18894.411
Subtracting 34 from 60 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 18894.411 with a balance of 0.0026.