360370 divided by 34 
We're looking to find how many times 34 goes into 360370.

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
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 34

On to step 2:
34 can be fit into 36 1 times, resulting in a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 34 from 36 leaves us with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 34

Step 3:
When dividing 20 by 34, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 20 to get 20.
Include the next digit (3) from the dividend after 20, then repeat: 203 / 34

Let's proceed to step 4:
If we divide 203 by 34, we get 5 and a remainder of 33.
Put 5 as the next digit of the answer. 
Result so far: 105.0
If we subtract 170 from 203, we get 33.
Take the next digit (7) from the dividend and append it to 33, then repeat: 337 / 34

On to step 5:
34 goes into 337 9 times with a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 1059.0
The remainder is 31 after subtracting 306 from 337.
Grab the next digit (0) from the dividend, add it to 31, then carry on: 310 / 34

Moving on to step 6:
34 can be fit into 310 9 times, resulting in a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 10599.0
If we subtract 306 from 310, 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 7:
40 divided by 34 is 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 10599.1
Deduct 34 from 40 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
When dividing 60 by 34, we get 1 with a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 10599.11
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.

The quotient of the division is 10599.11, and the remainder is 0.026.