661614 ÷ 35 
We're looking to find how many times 35 goes into 661614.

Step 1:
If we divide 6 by 35, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 35

Moving on to step 2:
66 divided by 35 is 1 with a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 35 from 66 to get 31.
Grab the next digit (1) from the dividend, add it to 31, then carry on: 311 / 35

Step 3:
When dividing 311 by 35, we get 8 with a remainder of 31.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Subtract 280 from 311 to get 31.
Take the next digit (6) from the dividend and append it to 31, then repeat: 316 / 35

On to step 4:
35 can be fit into 316 9 times, resulting in a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 189.0
Deduct 315 from 316 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 35

Moving on to step 5:
If we divide 11 by 35, we get 0 and a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 1890.0
Subtract 0 from 11 to get 11.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 35

Moving on to step 6:
35 can be fit into 114 3 times, resulting in a remainder of 9.
The next digit of our result is 3. 
Result so far: 18903.0
Deduct 105 from 114 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
When dividing 90 by 35, we get 2 with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 18903.2
Deduct 70 from 90 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.

Going ahead to step 8:
200 divided by 35 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 18903.25
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.

Step 9:
35 can be fit into 250 7 times, resulting in a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 18903.257
If we subtract 245 from 250, we 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.

Step 10:
The number 35 fits into 50 1 times, leaving a remainder of 15.
The next digit of our result is 1. 
Result so far: 18903.2571
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 11:
35 can be fit into 150 4 times, resulting in a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 18903.25714
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.

Moving on to step 12:
If we divide 100 by 35, we get 2 and a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 18903.257142
The remainder is 30 after subtracting 70 from 100.
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:
35 goes into 300 8 times with a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 18903.2571428
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 14:
If we divide 200 by 35, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 18903.25714285
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 18903.25714285, and the remainder is 2.5e-08.