253166 ÷ 35 
Our goal is to divide 253166 by 35.

Let's proceed to step 1:
When dividing 2 by 35, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 35

Step 2:
The number 35 fits into 25 0 times, leaving a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Fetch the next digit (3) from the dividend, attach it to 25 and continue: 253 / 35

Let's proceed to step 3:
When dividing 253 by 35, we get 7 with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 245 from 253, we get 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 35

Moving on to step 4:
If we divide 81 by 35, we get 2 and a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 72.0
Subtract 70 from 81 to get 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 35

Step 5:
The number 35 fits into 116 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 723.0
Subtracting 105 from 116 leaves us with 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 35

On to step 6:
35 can be fit into 116 3 times, resulting in a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 7233.0
If we take 105 away from 116, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
35 goes into 110 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 7233.3
Subtracting 105 from 110 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.

Moving on to step 8:
When dividing 50 by 35, we get 1 with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 7233.31
Subtract 35 from 50 to 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.

Moving on to step 9:
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: 7233.314
Subtracting 140 from 150 leaves us 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.

Step 10:
35 goes into 100 2 times with a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 7233.3142
Subtract 70 from 100 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
When dividing 300 by 35, we get 8 with a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 7233.31428
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.

Step 12:
The number 35 fits into 200 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 7233.314285
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 13:
35 can be fit into 250 7 times, resulting in a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 7233.3142857
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.

Going ahead to step 14:
35 can be fit into 50 1 times, resulting in a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 7233.31428571
Subtract 35 from 50 to 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.

After the division, we end up with 7233.31428571 and a remainder of 1.5e-08.