We look at the division of 966765 by 42 
We want to divide 966765 by 42.

Let's proceed to step 1:
When dividing 9 by 42, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 42

Advancing to step 2:
The number 42 fits into 96 2 times, leaving a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 12 after subtracting 84 from 96.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 42

Moving on to step 3:
When dividing 126 by 42, we get 3 with a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
Subtracting 126 from 126 leaves us with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 42

Step 4:
When dividing 7 by 42, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 230.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 42

Let's proceed to step 5:
If we divide 76 by 42, we get 1 and a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 2301.0
Deduct 42 from 76 and we're left with 34.
Include the next digit (5) from the dividend after 34, then repeat: 345 / 42

Advancing to step 6:
The number 42 fits into 345 8 times, leaving a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 23018.0
The remainder is 9 after subtracting 336 from 345.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
The number 42 fits into 90 2 times, leaving a remainder of 6.
The next digit of our result is 2. 
Result so far: 23018.2
If we take 84 away from 90, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
The number 42 fits into 60 1 times, leaving a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 23018.21
The remainder is 18 after subtracting 42 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 9:
42 can be fit into 180 4 times, resulting in a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 23018.214
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
When dividing 120 by 42, we get 2 with a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 23018.2142
Subtracting 84 from 120 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 11:
When dividing 360 by 42, we get 8 with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 23018.21428
If we subtract 336 from 360, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 12:
If we divide 240 by 42, we get 5 and a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 23018.214285
Subtract 210 from 240 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 13:
42 can be fit into 300 7 times, resulting in a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 23018.2142857
If we subtract 294 from 300, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 14:
If we divide 60 by 42, we get 1 and a remainder of 18.
The next digit of our result is 1. 
Result so far: 23018.21428571
Deduct 42 from 60 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The quotient of the division is 23018.21428571, and the remainder is 1.8e-08.