We're dividing 145043 by 42 
We're looking to find how many times 42 goes into 145043.

Let's proceed to step 1:
42 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 42

Let's proceed to step 2:
The number 42 fits into 14 0 times, leaving a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 14, we end up with 14.
Fetch the next digit (5) from the dividend, attach it to 14 and continue: 145 / 42

Going ahead to step 3:
The number 42 fits into 145 3 times, leaving a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 126 from 145 leaves us with 19.
Append the next digit (0) from the dividend to 19 and continue with: 190 / 42

Step 4:
42 goes into 190 4 times with a remainder of 22.
The next digit of our result is 4. 
Result so far: 34.0
If we subtract 168 from 190, we get 22.
Include the next digit (4) from the dividend after 22, then repeat: 224 / 42

Going ahead to step 5:
42 can be fit into 224 5 times, resulting in a remainder of 14.
Use 5 as the next digit of our solution. 
Result so far: 345.0
The remainder is 14 after subtracting 210 from 224.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 42

Let's proceed to step 6:
42 can be fit into 143 3 times, resulting in a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 3453.0
Deduct 126 from 143 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
When dividing 170 by 42, we get 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 3453.4
Subtracting 168 from 170 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
20 divided by 42 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 3453.4
Subtract 0 from 20 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.

Moving on to step 9:
42 can be fit into 200 4 times, resulting in a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 3453.404
Subtracting 168 from 200 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
When dividing 320 by 42, we get 7 with a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 3453.4047
The remainder is 26 after subtracting 294 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 11:
260 divided by 42 is 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 3453.40476
If we take 252 away from 260, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
If we divide 80 by 42, we get 1 and a remainder of 38.
The next digit of our result is 1. 
Result so far: 3453.404761
Deduct 42 from 80 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 13:
380 divided by 42 is 9 with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 3453.4047619
Subtracting 378 from 380 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 14:
42 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 3453.4047619
Subtracting 0 from 20 leaves us 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.

After the division, we end up with 3453.4047619 and a remainder of 2e-08.