We divide 642575 by 42
We want to divide 642575 by 42.

Going ahead to step 1:
42 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 42

Going ahead to step 2:
If we divide 64 by 42, we get 1 and a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 42 from 64 to get 22.
Include the next digit (2) from the dividend after 22, then repeat: 222 / 42

Advancing to step 3:
222 divided by 42 is 5 with a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtracting 210 from 222 leaves us with 12.
Append the next digit (5) from the dividend to 12 and continue with: 125 / 42

Let's proceed to step 4:
42 goes into 125 2 times with a remainder of 41.
The next digit of our result is 2. 
Result so far: 152.0
Subtracting 84 from 125 leaves us with 41.
Append the next digit (7) from the dividend to 41 and continue with: 417 / 42

Step 5:
42 goes into 417 9 times with a remainder of 39.
Write down 9 as next digit of the result. 
Result so far: 1529.0
If we subtract 378 from 417, we get 39.
Append the next digit (5) from the dividend to 39 and continue with: 395 / 42

Let's proceed to step 6:
395 divided by 42 is 9 with a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 15299.0
The remainder is 17 after subtracting 378 from 395.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
The number 42 fits into 170 4 times, leaving a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 15299.4
If we subtract 168 from 170, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
20 divided by 42 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 15299.4
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.

Let's proceed to step 9:
200 divided by 42 is 4 with a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 15299.404
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.

Step 10:
42 goes into 320 7 times with a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 15299.4047
Deduct 294 from 320 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 11:
When dividing 260 by 42, we get 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 15299.40476
The remainder is 8 after subtracting 252 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 12:
If we divide 80 by 42, we get 1 and a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 15299.404761
If we subtract 42 from 80, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 13:
If we divide 380 by 42, we get 9 and a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 15299.4047619
If we take 378 away from 380, we end up 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.

Moving on to step 14:
The number 42 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 15299.4047619
If we subtract 0 from 20, we 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.

The quotient of the division is 15299.4047619, and the remainder is 2e-08.