141764 ÷ 42 
Our goal is to divide 141764 by 42.

Moving on to step 1:
When dividing 1 by 42, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 42

Going ahead to step 2:
42 goes into 14 0 times with a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Append the next digit (1) from the dividend to 14 and continue with: 141 / 42

Moving on to step 3:
141 divided by 42 is 3 with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 126 from 141, we get 15.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 42

Going ahead to step 4:
42 can be fit into 157 3 times, resulting in a remainder of 31.
Use 3 as the next digit of our solution. 
Result so far: 33.0
Deduct 126 from 157 and we're left with 31.
Include the next digit (6) from the dividend after 31, then repeat: 316 / 42

On to step 5:
42 can be fit into 316 7 times, resulting in a remainder of 22.
Record the quotient 7 as the next digit in the result. 
Result so far: 337.0
Deduct 294 from 316 and we're left with 22.
Take the next digit (4) from the dividend and append it to 22, then repeat: 224 / 42

Let's proceed to step 6:
42 goes into 224 5 times with a remainder of 14.
Write down 5 as next digit of the result. 
Result so far: 3375.0
The remainder is 14 after subtracting 210 from 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
140 divided by 42 is 3 with a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 3375.3
Subtract 126 from 140 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 8:
140 divided by 42 is 3 with a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 3375.33
Subtract 126 from 140 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Our division results in 3375.33 with a remaining 0.014.