We look at the division of 769582 by 42 
Our goal is to divide 769582 by 42.

Let's proceed to step 1:
The number 42 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 42

Let's proceed to step 2:
76 divided by 42 is 1 with a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 42 from 76, we get 34.
Take the next digit (9) from the dividend and append it to 34, then repeat: 349 / 42

Moving on to step 3:
42 can be fit into 349 8 times, resulting in a remainder of 13.
Use 8 as the next digit of our solution. 
Result so far: 18.0
Subtracting 336 from 349 leaves us with 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 42

On to step 4:
The number 42 fits into 135 3 times, leaving a remainder of 9.
The next digit of our result is 3. 
Result so far: 183.0
If we subtract 126 from 135, we get 9.
Take the next digit (8) from the dividend and append it to 9, then repeat: 98 / 42

Step 5:
42 can be fit into 98 2 times, resulting in a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 1832.0
If we take 84 away from 98, we end up with 14.
Fetch the next digit (2) from the dividend, attach it to 14 and continue: 142 / 42

Advancing to step 6:
142 divided by 42 is 3 with a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 18323.0
The remainder is 16 after subtracting 126 from 142.
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 can be fit into 160 3 times, resulting in a remainder of 34.
The next digit of our result is 3. 
Result so far: 18323.3
Subtracting 126 from 160 leaves us 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:
42 goes into 340 8 times with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 18323.38
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.

Step 9:
42 goes into 40 0 times with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 18323.38
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
The number 42 fits into 400 9 times, leaving a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 18323.3809
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.

Step 11:
The number 42 fits into 220 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 18323.38095
Deduct 210 from 220 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 12:
42 can be fit into 100 2 times, resulting in a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 18323.380952
The remainder is 16 after subtracting 84 from 100.
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:
42 goes into 160 3 times with a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 18323.3809523
Subtracting 126 from 160 leaves us 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.

Advancing to step 14:
If we divide 340 by 42, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 18323.38095238
If we subtract 336 from 340, we 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.

The final result is 18323.38095238 with a remainder of 4e-09.