We're dividing 379670 by 35 
Let's see how many times 35 fits into 379670.

On to step 1:
When dividing 3 by 35, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 35

Advancing to step 2:
If we divide 37 by 35, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 35 from 37, we get 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 35

On to step 3:
35 goes into 29 0 times with a remainder of 29.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 29 and we're left with 29.
Take the next digit (6) from the dividend and append it to 29, then repeat: 296 / 35

On to step 4:
If we divide 296 by 35, we get 8 and a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 108.0
If we take 280 away from 296, we end up with 16.
Include the next digit (7) from the dividend after 16, then repeat: 167 / 35

Going ahead to step 5:
35 goes into 167 4 times with a remainder of 27.
The number 4 becomes the next digit in our result. 
Result so far: 1084.0
Subtract 140 from 167 to get 27.
Append the next digit (0) from the dividend to 27 and continue with: 270 / 35

Going ahead to step 6:
If we divide 270 by 35, we get 7 and a remainder of 25.
The number 7 becomes the next digit in our result. 
Result so far: 10847.0
Subtract 245 from 270 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
35 can be fit into 250 7 times, resulting in a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 10847.7
If we take 245 away from 250, we end up 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:
When dividing 50 by 35, we get 1 with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 10847.71
If we subtract 35 from 50, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
The number 35 fits into 150 4 times, leaving a remainder of 10.
The next digit of our result is 4. 
Result so far: 10847.714
If we take 140 away from 150, we end up 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 10:
If we divide 100 by 35, we get 2 and a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 10847.7142
If we take 70 away from 100, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 11:
When dividing 300 by 35, we get 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 10847.71428
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:
The number 35 fits into 200 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 10847.714285
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.

Step 13:
When dividing 250 by 35, we get 7 with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 10847.7142857
The remainder is 5 after subtracting 245 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 14:
35 can be fit into 50 1 times, resulting in a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 10847.71428571
Subtract 35 from 50 to get 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 10847.71428571 with a remaining 1.5e-08.