We look at the division of 34997 by 66 
We're looking to find how many times 66 goes into 34997.

Going ahead to step 1:
66 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 66

Advancing to step 2:
The number 66 fits into 34 0 times, leaving a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Fetch the next digit (9) from the dividend, attach it to 34 and continue: 349 / 66

Let's proceed to step 3:
66 can be fit into 349 5 times, resulting in a remainder of 19.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 330 from 349 and we're left with 19.
Include the next digit (9) from the dividend after 19, then repeat: 199 / 66

Let's proceed to step 4:
66 can be fit into 199 3 times, resulting in a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 53.0
Subtracting 198 from 199 leaves us with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 66

Step 5:
The number 66 fits into 17 0 times, leaving a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 530.0
The remainder is 17 after subtracting 0 from 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 6:
66 goes into 170 2 times with a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 530.2
The remainder is 38 after subtracting 132 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 7:
66 can be fit into 380 5 times, resulting in a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 530.25
If we take 330 away from 380, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
If we divide 500 by 66, we get 7 and a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 530.257
The remainder is 38 after subtracting 462 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 9:
66 goes into 380 5 times with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 530.2575
The remainder is 50 after subtracting 330 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 10:
500 divided by 66 is 7 with a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 530.25757
Subtracting 462 from 500 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 11:
When dividing 380 by 66, we get 5 with a remainder of 50.
The next digit of our result is 5. 
Result so far: 530.257575
Subtracting 330 from 380 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 12:
500 divided by 66 is 7 with a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 530.2575757
Subtracting 462 from 500 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 13:
380 divided by 66 is 5 with a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 530.25757575
The remainder is 50 after subtracting 330 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 530.25757575, and the remainder is 5e-08.