Let's divide 12966 by 35
Our goal is to divide 12966 by 35.

Let's proceed to step 1:
35 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 35

Advancing to step 2:
35 goes into 12 0 times with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 35

Going ahead to step 3:
If we divide 129 by 35, we get 3 and a remainder of 24.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 105 from 129 and we're left with 24.
Include the next digit (6) from the dividend after 24, then repeat: 246 / 35

On to step 4:
The number 35 fits into 246 7 times, leaving a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 37.0
If we subtract 245 from 246, we get 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 35

On to step 5:
When dividing 16 by 35, we get 0 with a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 370.0
If we subtract 0 from 16, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 6:
When dividing 160 by 35, we get 4 with a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 370.4
Deduct 140 from 160 and we're left 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.

On to step 7:
35 goes into 200 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 370.45
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.

Advancing to step 8:
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: 370.457
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 9:
35 can be fit into 50 1 times, resulting in a remainder of 15.
The next digit of our result is 1. 
Result so far: 370.4571
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.

Going ahead to step 10:
When dividing 150 by 35, we get 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 370.45714
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.

On to step 11:
35 goes into 100 2 times with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 370.457142
Deduct 70 from 100 and we're left 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.

Let's proceed to step 12:
35 goes into 300 8 times with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 370.4571428
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.

Let's proceed to step 13:
200 divided by 35 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 370.45714285
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.

After the division, we end up with 370.45714285 and a remainder of 2.5e-08.