We're dividing 745431 by 34 
We want to divide 745431 by 34.

Moving on to step 1:
34 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 34

Advancing to step 2:
When dividing 74 by 34, we get 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 68 from 74 and we're left with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 34

Going ahead to step 3:
34 goes into 65 1 times with a remainder of 31.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Deduct 34 from 65 and we're left with 31.
Append the next digit (4) from the dividend to 31 and continue with: 314 / 34

Advancing to step 4:
34 can be fit into 314 9 times, resulting in a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 219.0
If we subtract 306 from 314, we get 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 34

Advancing to step 5:
34 can be fit into 83 2 times, resulting in a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 2192.0
Subtract 68 from 83 to get 15.
Include the next digit (1) from the dividend after 15, then repeat: 151 / 34

Advancing to step 6:
When dividing 151 by 34, we get 4 with a remainder of 15.
Use 4 as the next digit of our solution. 
Result so far: 21924.0
The remainder is 15 after subtracting 136 from 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
34 goes into 150 4 times with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 21924.4
Subtract 136 from 150 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.

Going ahead to step 8:
140 divided by 34 is 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 21924.44
Deduct 136 from 140 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 21924.44, and the remainder is 0.004.