We look at the division of 315634 by 34 
Our goal is to divide 315634 by 34.

Step 1:
When dividing 3 by 34, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 34

Advancing to step 2:
34 can be fit into 31 0 times, resulting in a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Fetch the next digit (5) from the dividend, attach it to 31 and continue: 315 / 34

Let's proceed to step 3:
If we divide 315 by 34, we get 9 and a remainder of 9.
The next digit of our result is 9. 
Result so far: 9.0
If we take 306 away from 315, we end up with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 34

Advancing to step 4:
96 divided by 34 is 2 with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 92.0
Subtract 68 from 96 to get 28.
Include the next digit (3) from the dividend after 28, then repeat: 283 / 34

Advancing to step 5:
34 can be fit into 283 8 times, resulting in a remainder of 11.
Use 8 as the next digit of our solution. 
Result so far: 928.0
Deduct 272 from 283 and we're left with 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 34

Let's proceed to step 6:
The number 34 fits into 114 3 times, leaving a remainder of 12.
The next digit of our result is 3. 
Result so far: 9283.0
If we subtract 102 from 114, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
When dividing 120 by 34, we get 3 with a remainder of 18.
The next digit of our result is 3. 
Result so far: 9283.3
Subtract 102 from 120 to get 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 8:
34 goes into 180 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 9283.35
If we subtract 170 from 180, we 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 9:
When dividing 100 by 34, we get 2 with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 9283.352
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.

Step 10:
The number 34 fits into 320 9 times, leaving a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 9283.3529
If we take 306 away from 320, we end up with 14.
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 11:
34 can be fit into 140 4 times, resulting in a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 9283.35294
If we take 136 away from 140, we end up 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.

Going ahead to step 12:
The number 34 fits into 40 1 times, leaving a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 9283.352941
The remainder is 6 after subtracting 34 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 13:
60 divided by 34 is 1 with a remainder of 26.
Put 1 as the next digit of the answer. 
Result so far: 9283.3529411
If we take 34 away from 60, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 9283.3529411, and the remainder is 2.6e-07.