We look at the division of 434372 by 17 
We want to divide 434372 by 17.

On to step 1:
17 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 17

Moving on to step 2:
43 divided by 17 is 2 with a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 34 away from 43, we end up with 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 17

Let's proceed to step 3:
The number 17 fits into 94 5 times, leaving a remainder of 9.
Use 5 as the next digit of our solution. 
Result so far: 25.0
If we take 85 away from 94, we end up with 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 17

Moving on to step 4:
17 can be fit into 93 5 times, resulting in a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 255.0
The remainder is 8 after subtracting 85 from 93.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 17

Step 5:
17 can be fit into 87 5 times, resulting in a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 2555.0
The remainder is 2 after subtracting 85 from 87.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 17

Advancing to step 6:
17 goes into 22 1 times with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 25551.0
Subtract 17 from 22 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
17 can be fit into 50 2 times, resulting in a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 25551.2
If we subtract 34 from 50, we get 16.
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 8:
If we divide 160 by 17, we get 9 and a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 25551.29
The remainder is 7 after subtracting 153 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 9:
The number 17 fits into 70 4 times, leaving a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 25551.294
Subtract 68 from 70 to get 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 10:
17 goes into 20 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 25551.2941
Subtracting 17 from 20 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
The number 17 fits into 30 1 times, leaving a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 25551.29411
If we subtract 17 from 30, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 25551.29411, and the remainder is 1.3e-05.