We look at the division of 642594 by 34 
We're looking to find how many times 34 goes into 642594.

Moving on to step 1:
If we divide 6 by 34, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 34

Going ahead to step 2:
64 divided by 34 is 1 with a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 30 after subtracting 34 from 64.
Include the next digit (2) from the dividend after 30, then repeat: 302 / 34

On to step 3:
302 divided by 34 is 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 18.0
Subtract 272 from 302 to get 30.
Take the next digit (5) from the dividend and append it to 30, then repeat: 305 / 34

On to step 4:
The number 34 fits into 305 8 times, leaving a remainder of 33.
The next digit of our result is 8. 
Result so far: 188.0
The remainder is 33 after subtracting 272 from 305.
Grab the next digit (9) from the dividend, add it to 33, then carry on: 339 / 34

Let's proceed to step 5:
When dividing 339 by 34, we get 9 with a remainder of 33.
Put 9 as the next digit of the answer. 
Result so far: 1889.0
If we take 306 away from 339, we end up with 33.
Grab the next digit (4) from the dividend, add it to 33, then carry on: 334 / 34

Let's proceed to step 6:
If we divide 334 by 34, we get 9 and a remainder of 28.
The number 9 becomes the next digit in our result. 
Result so far: 18899.0
Subtract 306 from 334 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 7:
34 goes into 280 8 times with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 18899.8
Deduct 272 from 280 and we're left 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.

Let's proceed to step 8:
34 goes into 80 2 times with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 18899.82
Subtracting 68 from 80 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
34 can be fit into 120 3 times, resulting in a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 18899.823
Deduct 102 from 120 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 10:
The number 34 fits into 180 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 18899.8235
Subtract 170 from 180 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
100 divided by 34 is 2 with a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 18899.82352
The remainder is 32 after subtracting 68 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 12:
34 goes into 320 9 times with a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 18899.823529
Subtract 306 from 320 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 13:
The number 34 fits into 140 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 18899.8235294
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.

Moving on to step 14:
34 goes into 40 1 times with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 18899.82352941
Subtract 34 from 40 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 18899.82352941 and a remainder of 6e-09.