42275 ÷ 35 
Our goal is to divide 42275 by 35.

Moving on to step 1:
The number 35 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 35

Let's proceed to step 2:
35 goes into 42 1 times with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 35 from 42 and we're left with 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 35

Advancing to step 3:
The number 35 fits into 72 2 times, leaving a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we subtract 70 from 72, we get 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 35

Going ahead to step 4:
When dividing 27 by 35, we get 0 with a remainder of 27.
The next digit of our result is 0. 
Result so far: 120.0
If we subtract 0 from 27, we get 27.
Fetch the next digit (5) from the dividend, attach it to 27 and continue: 275 / 35

On to step 5:
When dividing 275 by 35, we get 7 with a remainder of 30.
The next digit of our result is 7. 
Result so far: 1207.0
Subtracting 245 from 275 leaves us 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.

On to step 6:
35 goes into 300 8 times with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 1207.8
If we take 280 away from 300, we end up 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 7:
35 can be fit into 200 5 times, resulting in a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 1207.85
If we subtract 175 from 200, we 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 8:
250 divided by 35 is 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 1207.857
Deduct 245 from 250 and we're left 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.
Put 1 as the next digit of the answer. 
Result so far: 1207.8571
The remainder is 15 after subtracting 35 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 10:
If we divide 150 by 35, we get 4 and a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 1207.85714
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.

Advancing to step 11:
If we divide 100 by 35, we get 2 and a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 1207.857142
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 12:
300 divided by 35 is 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 1207.8571428
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.

Step 13:
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: 1207.85714285
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.

The quotient of the division is 1207.85714285, and the remainder is 2.5e-08.