735142 ÷ 42 
We want to figure out the number of times 735142 can be divided by 42.

On to step 1:
The number 42 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
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

Advancing to step 2:
When dividing 73 by 42, we get 1 with a remainder of 31.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 42 from 73 to get 31.
Append the next digit (5) from the dividend to 31 and continue with: 315 / 42

Advancing to step 3:
42 can be fit into 315 7 times, resulting in a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 17.0
If we subtract 294 from 315, we get 21.
Append the next digit (1) from the dividend to 21 and continue with: 211 / 42

Advancing to step 4:
211 divided by 42 is 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 175.0
Deduct 210 from 211 and we're left with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 42

On to step 5:
42 can be fit into 14 0 times, resulting in a remainder of 14.
The next digit of our result is 0. 
Result so far: 1750.0
Subtracting 0 from 14 leaves us with 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 42

On to step 6:
42 goes into 142 3 times with a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 17503.0
Deduct 126 from 142 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
42 goes into 160 3 times with a remainder of 34.
The next digit of our result is 3. 
Result so far: 17503.3
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
If we divide 340 by 42, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 17503.38
Deduct 336 from 340 and we're left 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.

Let's proceed to step 9:
40 divided by 42 is 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 17503.38
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 10:
42 goes into 400 9 times with a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 17503.3809
Deduct 378 from 400 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 11:
The number 42 fits into 220 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 17503.38095
If we subtract 210 from 220, 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.

Step 12:
The number 42 fits into 100 2 times, leaving a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 17503.380952
Subtracting 84 from 100 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 13:
If we divide 160 by 42, we get 3 and a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 17503.3809523
Subtract 126 from 160 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 14:
42 goes into 340 8 times with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 17503.38095238
Subtract 336 from 340 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 17503.38095238 with a remaining 4e-09.