We look at the division of 379094 by 35 
We're looking to find how many times 35 goes into 379094.

Advancing to step 1:
If we divide 3 by 35, we get 0 and 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.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 35

On to step 2:
When dividing 37 by 35, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 35 from 37, we get 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 35

Step 3:
35 can be fit into 29 0 times, resulting in a remainder of 29.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 29 leaves us with 29.
Take the next digit (0) from the dividend and append it to 29, then repeat: 290 / 35

Step 4:
The number 35 fits into 290 8 times, leaving a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 108.0
If we take 280 away from 290, we end up with 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 35

Going ahead to step 5:
109 divided by 35 is 3 with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 1083.0
Subtract 105 from 109 to get 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 35

Let's proceed to step 6:
When dividing 44 by 35, we get 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 10831.0
Deduct 35 from 44 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
When dividing 90 by 35, we get 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 10831.2
The remainder is 20 after subtracting 70 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
35 goes into 200 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 10831.25
If we take 175 away from 200, we end up 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.

Moving on to step 9:
When dividing 250 by 35, we get 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 10831.257
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.

Advancing to step 10:
35 goes into 50 1 times with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 10831.2571
Deduct 35 from 50 and we're left 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 11:
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: 10831.25714
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 12:
The number 35 fits into 100 2 times, leaving a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 10831.257142
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.

Let's proceed to step 13:
35 can be fit into 300 8 times, resulting in a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 10831.2571428
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.

On to step 14:
200 divided by 35 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 10831.25714285
Deduct 175 from 200 and we're left 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.

The final result is 10831.25714285 with a remainder of 2.5e-08.