735289 ÷ 42 
We're looking to find how many times 42 goes into 735289.

On to step 1:
The number 42 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 42

Step 2:
If we divide 73 by 42, we get 1 and a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 42 from 73, we get 31.
Include the next digit (5) from the dividend after 31, then repeat: 315 / 42

Moving on to step 3:
42 can be fit into 315 7 times, resulting in a remainder of 21.
The next digit of our result is 7. 
Result so far: 17.0
If we subtract 294 from 315, we get 21.
Include the next digit (2) from the dividend after 21, then repeat: 212 / 42

Step 4:
The number 42 fits into 212 5 times, leaving a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 175.0
Subtracting 210 from 212 leaves us with 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 42

Moving on to step 5:
42 goes into 28 0 times with a remainder of 28.
The number 0 becomes the next digit in our result. 
Result so far: 1750.0
Deduct 0 from 28 and we're left with 28.
Fetch the next digit (9) from the dividend, attach it to 28 and continue: 289 / 42

On to step 6:
289 divided by 42 is 6 with a remainder of 37.
The number 6 becomes the next digit in our result. 
Result so far: 17506.0
Deduct 252 from 289 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 7:
If we divide 370 by 42, we get 8 and a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 17506.8
If we take 336 away from 370, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 8:
If we divide 340 by 42, we get 8 and a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 17506.88
Subtracting 336 from 340 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 17506.88, and the remainder is 0.004.