211888 ÷ 42 
The aim is to understand the frequency of 42 in 211888.

Let's proceed to step 1:
42 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 42

On to step 2:
21 divided by 42 is 0 with a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 21 to get 21.
Grab the next digit (1) from the dividend, add it to 21, then carry on: 211 / 42

On to step 3:
When dividing 211 by 42, we get 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 210 from 211 leaves us with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 42

Going ahead to step 4:
If we divide 18 by 42, we get 0 and a remainder of 18.
Write down 0 as next digit of the result. 
Result so far: 50.0
If we subtract 0 from 18, we get 18.
Fetch the next digit (8) from the dividend, attach it to 18 and continue: 188 / 42

Let's proceed to step 5:
If we divide 188 by 42, we get 4 and a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 504.0
Subtract 168 from 188 to get 20.
Take the next digit (8) from the dividend and append it to 20, then repeat: 208 / 42

Advancing to step 6:
When dividing 208 by 42, we get 4 with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 5044.0
Deduct 168 from 208 and we're left 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.

Advancing to step 7:
When dividing 400 by 42, we get 9 with a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 5044.9
If we take 378 away from 400, we end up 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.

On to step 8:
If we divide 220 by 42, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 5044.95
If we take 210 away from 220, we end up 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.

Step 9:
42 goes into 100 2 times with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 5044.952
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.

Let's proceed to step 10:
When dividing 160 by 42, we get 3 with a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 5044.9523
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.

Advancing to step 11:
When dividing 340 by 42, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 5044.95238
Deduct 336 from 340 and we're left 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.

Advancing to step 12:
If we divide 40 by 42, we get 0 and a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 5044.95238
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.

Moving on to step 13:
When dividing 400 by 42, we get 9 with a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 5044.9523809
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.

Advancing to step 14:
42 goes into 220 5 times with a remainder of 10.
The next digit of our result is 5. 
Result so far: 5044.95238095
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.

Our division results in 5044.95238095 with a remaining 1e-08.