We're dividing 378088 by 35 
Let's see how many times 35 fits into 378088.

Step 1:
The number 35 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 35

On to step 2:
35 can be fit into 37 1 times, resulting in a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 2 after subtracting 35 from 37.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 35

Moving on to step 3:
28 divided by 35 is 0 with a remainder of 28.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 28 and we're left with 28.
Take the next digit (0) from the dividend and append it to 28, then repeat: 280 / 35

Going ahead to step 4:
When dividing 280 by 35, we get 8 with a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 108.0
If we take 280 away from 280, we end up with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 35

Advancing to step 5:
When dividing 8 by 35, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 1080.0
If we take 0 away from 8, we end up with 8.
Include the next digit (8) from the dividend after 8, then repeat: 88 / 35

Advancing to step 6:
When dividing 88 by 35, we get 2 with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 10802.0
If we subtract 70 from 88, 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.

On to step 7:
35 can be fit into 180 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 10802.5
Subtracting 175 from 180 leaves us 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:
35 goes into 50 1 times with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 10802.51
Subtracting 35 from 50 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 9:
35 can be fit into 150 4 times, resulting in a remainder of 10.
The next digit of our result is 4. 
Result so far: 10802.514
The remainder is 10 after subtracting 140 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
If we divide 100 by 35, we get 2 and a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 10802.5142
Subtract 70 from 100 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 11:
300 divided by 35 is 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 10802.51428
Subtract 280 from 300 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 12:
When dividing 200 by 35, we get 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 10802.514285
Subtracting 175 from 200 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 13:
35 goes into 250 7 times with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 10802.5142857
Subtracting 245 from 250 leaves us 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.

Moving on to step 14:
The number 35 fits into 50 1 times, leaving a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 10802.51428571
Subtracting 35 from 50 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 10802.51428571 with a remaining 1.5e-08.