946643 divided by 42 
The aim is to understand the frequency of 42 in 946643.

Step 1:
42 can be fit into 9 0 times, resulting in a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 42

Step 2:
The number 42 fits into 94 2 times, leaving a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 84 from 94 to get 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 42

On to step 3:
If we divide 106 by 42, we get 2 and a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
If we take 84 away from 106, we end up with 22.
Bring next digit (6) of the dividend behind the 22 and repeat the process: 226 / 42

Going ahead to step 4:
42 goes into 226 5 times with a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 225.0
Deduct 210 from 226 and we're left with 16.
Fetch the next digit (4) from the dividend, attach it to 16 and continue: 164 / 42

Advancing to step 5:
42 can be fit into 164 3 times, resulting in a remainder of 38.
The number 3 becomes the next digit in our result. 
Result so far: 2253.0
Deduct 126 from 164 and we're left with 38.
Fetch the next digit (3) from the dividend, attach it to 38 and continue: 383 / 42

Advancing to step 6:
If we divide 383 by 42, we get 9 and a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 22539.0
If we subtract 378 from 383, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
When dividing 50 by 42, we get 1 with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 22539.1
Subtracting 42 from 50 leaves us 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.

Step 8:
80 divided by 42 is 1 with a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 22539.11
Subtracting 42 from 80 leaves us 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.

After the division, we end up with 22539.11 and a remainder of 0.038.