We're dividing 736642 by 34 
Our goal is to divide 736642 by 34.

Step 1:
If we divide 7 by 34, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 34

Let's proceed to step 2:
34 goes into 73 2 times with a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 68 from 73, we get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 34

On to step 3:
The number 34 fits into 56 1 times, leaving a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 21.0
Deduct 34 from 56 and we're left with 22.
Include the next digit (6) from the dividend after 22, then repeat: 226 / 34

On to step 4:
34 can be fit into 226 6 times, resulting in a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 216.0
If we subtract 204 from 226, we get 22.
Grab the next digit (4) from the dividend, add it to 22, then carry on: 224 / 34

Going ahead to step 5:
34 goes into 224 6 times with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 2166.0
The remainder is 20 after subtracting 204 from 224.
Take the next digit (2) from the dividend and append it to 20, then repeat: 202 / 34

On to step 6:
34 can be fit into 202 5 times, resulting in a remainder of 32.
The next digit of our result is 5. 
Result so far: 21665.0
Subtract 170 from 202 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 7:
When dividing 320 by 34, we get 9 with a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 21665.9
The remainder is 14 after subtracting 306 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
If we divide 140 by 34, we get 4 and a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 21665.94
If we subtract 136 from 140, we get 4.
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 9:
34 can be fit into 40 1 times, resulting in a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 21665.941
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.

Let's proceed to step 10:
The number 34 fits into 60 1 times, leaving a remainder of 26.
The next digit of our result is 1. 
Result so far: 21665.9411
The remainder is 26 after subtracting 34 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Our division results in 21665.9411 with a remaining 0.00026.