363506 divided by 34 
Our goal is to divide 363506 by 34.

Step 1:
3 divided by 34 is 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.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 34

Going ahead to step 2:
The number 34 fits into 36 1 times, leaving a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 2 after subtracting 34 from 36.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 34

Let's proceed to step 3:
34 goes into 23 0 times with a remainder of 23.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 23, we end up with 23.
Take the next digit (5) from the dividend and append it to 23, then repeat: 235 / 34

Advancing to step 4:
235 divided by 34 is 6 with a remainder of 31.
Put 6 as the next digit of the answer. 
Result so far: 106.0
Subtract 204 from 235 to get 31.
Fetch the next digit (0) from the dividend, attach it to 31 and continue: 310 / 34

Step 5:
If we divide 310 by 34, we get 9 and a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 1069.0
The remainder is 4 after subtracting 306 from 310.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 34

Let's proceed to step 6:
When dividing 46 by 34, we get 1 with a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 10691.0
The remainder is 12 after subtracting 34 from 46.
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:
120 divided by 34 is 3 with a remainder of 18.
The next digit of our result is 3. 
Result so far: 10691.3
If we subtract 102 from 120, we 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.

Let's proceed to step 8:
The number 34 fits into 180 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 10691.35
Subtracting 170 from 180 leaves us with 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:
If we divide 100 by 34, we get 2 and a remainder of 32.
The next digit of our result is 2. 
Result so far: 10691.352
Deduct 68 from 100 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 10:
320 divided by 34 is 9 with a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 10691.3529
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.

Let's proceed to step 11:
34 goes into 140 4 times with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 10691.35294
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.

Advancing to step 12:
The number 34 fits into 40 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 10691.352941
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.

Let's proceed to step 13:
When dividing 60 by 34, we get 1 with a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 10691.3529411
Deduct 34 from 60 and we're left 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.

In conclusion, the division gives 10691.3529411 with a balance of 2.6e-07.