Let's divide 306966 by 35
We want to figure out the number of times 306966 can be divided by 35.

Advancing to step 1:
35 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 35

Moving on to step 2:
If we divide 30 by 35, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 30 and we're left with 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 35

Going ahead to step 3:
35 goes into 306 8 times with a remainder of 26.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtracting 280 from 306 leaves us with 26.
Grab the next digit (9) from the dividend, add it to 26, then carry on: 269 / 35

Moving on to step 4:
35 goes into 269 7 times with a remainder of 24.
Record the quotient 7 as the next digit in the result. 
Result so far: 87.0
Deduct 245 from 269 and we're left with 24.
Append the next digit (6) from the dividend to 24 and continue with: 246 / 35

Step 5:
246 divided by 35 is 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 877.0
Subtracting 245 from 246 leaves us with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 35

Going ahead to step 6:
The number 35 fits into 16 0 times, leaving a remainder of 16.
The next digit of our result is 0. 
Result so far: 8770.0
Subtracting 0 from 16 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 7:
35 goes into 160 4 times with a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 8770.4
Subtracting 140 from 160 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.

Moving on to step 8:
When dividing 200 by 35, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 8770.45
Subtract 175 from 200 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 9:
When dividing 250 by 35, we get 7 with a remainder of 5.
The next digit of our result is 7. 
Result so far: 8770.457
Subtract 245 from 250 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
35 can be fit into 50 1 times, resulting in a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 8770.4571
If we take 35 away from 50, we end up 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.

On to 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: 8770.45714
Deduct 140 from 150 and we're left 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 12:
35 goes into 100 2 times with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 8770.457142
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 13:
300 divided by 35 is 8 with a remainder of 20.
The next digit of our result is 8. 
Result so far: 8770.4571428
The remainder is 20 after subtracting 280 from 300.
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 14:
35 goes into 200 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 8770.45714285
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.

The quotient of the division is 8770.45714285, and the remainder is 2.5e-08.