843634 ÷ 17 
Our goal is to divide 843634 by 17.

Going ahead to step 1:
8 divided by 17 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 17

Moving on to step 2:
The number 17 fits into 84 4 times, leaving a remainder of 16.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 16 after subtracting 68 from 84.
Fetch the next digit (3) from the dividend, attach it to 16 and continue: 163 / 17

On to step 3:
17 goes into 163 9 times with a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 49.0
If we take 153 away from 163, we end up with 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 17

Advancing to step 4:
If we divide 106 by 17, we get 6 and a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 496.0
Subtracting 102 from 106 leaves us with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 17

Moving on to step 5:
When dividing 43 by 17, we get 2 with a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 4962.0
Subtracting 34 from 43 leaves us with 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 17

Moving on to step 6:
If we divide 94 by 17, we get 5 and a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 49625.0
If we subtract 85 from 94, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
If we divide 90 by 17, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 49625.5
If we take 85 away from 90, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
If we divide 50 by 17, we get 2 and a remainder of 16.
The next digit of our result is 2. 
Result so far: 49625.52
If we take 34 away from 50, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
160 divided by 17 is 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 49625.529
Deduct 153 from 160 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 10:
When dividing 70 by 17, we get 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 49625.5294
Deduct 68 from 70 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
17 goes into 20 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 49625.52941
Subtract 17 from 20 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 12:
When dividing 30 by 17, we get 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 49625.529411
Deduct 17 from 30 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 49625.529411 with a balance of 1.3e-06.