86970 ÷ 35 
We want to figure out the number of times 86970 can be divided by 35.

On to step 1:
If we divide 8 by 35, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 35

Step 2:
When dividing 86 by 35, we get 2 with a remainder of 16.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 70 from 86 and we're left with 16.
Bring next digit (9) of the dividend behind the 16 and repeat the process: 169 / 35

Going ahead to step 3:
35 can be fit into 169 4 times, resulting in a remainder of 29.
Record the quotient 4 as the next digit in the result. 
Result so far: 24.0
The remainder is 29 after subtracting 140 from 169.
Bring next digit (7) of the dividend behind the 29 and repeat the process: 297 / 35

Going ahead to step 4:
The number 35 fits into 297 8 times, leaving a remainder of 17.
Use 8 as the next digit of our solution. 
Result so far: 248.0
Subtract 280 from 297 to get 17.
Grab the next digit (0) from the dividend, add it to 17, then carry on: 170 / 35

On to step 5:
35 goes into 170 4 times with a remainder of 30.
Record the quotient 4 as the next digit in the result. 
Result so far: 2484.0
Subtracting 140 from 170 leaves us 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.

On to step 6:
If we divide 300 by 35, we get 8 and a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 2484.8
Subtracting 280 from 300 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
The number 35 fits into 200 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 2484.85
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.

Advancing to step 8:
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: 2484.857
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 9:
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: 2484.8571
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 10:
The number 35 fits into 150 4 times, leaving a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 2484.85714
If we subtract 140 from 150, we get 10.
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 11:
35 goes into 100 2 times with a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 2484.857142
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.

On to step 12:
300 divided by 35 is 8 with a remainder of 20.
The next digit of our result is 8. 
Result so far: 2484.8571428
If we subtract 280 from 300, we 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 13:
35 goes into 200 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 2484.85714285
If we subtract 175 from 200, we 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.

The final outcome is 2484.85714285, with a leftover of 2.5e-08.