Let's divide 465634 by 42
We're looking to find how many times 42 goes into 465634.

Step 1:
The number 42 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 42

Moving on to step 2:
42 goes into 46 1 times with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 4 after subtracting 42 from 46.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 42

Let's proceed to step 3:
The number 42 fits into 45 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 11.0
Deduct 42 from 45 and we're left with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 42

Going ahead to step 4:
42 goes into 36 0 times with a remainder of 36.
Write down 0 as next digit of the result. 
Result so far: 110.0
The remainder is 36 after subtracting 0 from 36.
Include the next digit (3) from the dividend after 36, then repeat: 363 / 42

Moving on to step 5:
If we divide 363 by 42, we get 8 and a remainder of 27.
Put 8 as the next digit of the answer. 
Result so far: 1108.0
If we subtract 336 from 363, we get 27.
Include the next digit (4) from the dividend after 27, then repeat: 274 / 42

Step 6:
42 can be fit into 274 6 times, resulting in a remainder of 22.
Write down 6 as next digit of the result. 
Result so far: 11086.0
Subtracting 252 from 274 leaves us 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.

Advancing to step 7:
220 divided by 42 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 11086.5
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.

Going ahead to step 8:
42 goes into 100 2 times with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 11086.52
If we subtract 84 from 100, we get 16.
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 9:
The number 42 fits into 160 3 times, leaving a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 11086.523
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 10:
42 goes into 340 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 11086.5238
Subtract 336 from 340 to 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.

Going ahead to step 11:
When dividing 40 by 42, we get 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 11086.5238
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
42 can be fit into 400 9 times, resulting in a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 11086.523809
Subtract 378 from 400 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 13:
If we divide 220 by 42, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 11086.5238095
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 14:
The number 42 fits into 100 2 times, leaving a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 11086.52380952
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.

The final result is 11086.52380952 with a remainder of 1.6e-08.