642441 ÷ 542 
The aim is to understand the frequency of 542 in 642441.

Advancing to step 1:
When dividing 6 by 542, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 542

Advancing to step 2:
64 divided by 542 is 0 with a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Include the next digit (2) from the dividend after 64, then repeat: 642 / 542

Advancing to step 3:
When dividing 642 by 542, we get 1 with a remainder of 100.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 542 from 642, we get 100.
Bring next digit (4) of the dividend behind the 100 and repeat the process: 1004 / 542

Advancing to step 4:
When dividing 1004 by 542, we get 1 with a remainder of 462.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 542 away from 1004, we end up with 462.
Append the next digit (4) from the dividend to 462 and continue with: 4624 / 542

Moving on to step 5:
When dividing 4624 by 542, we get 8 with a remainder of 288.
Write down 8 as next digit of the result. 
Result so far: 118.0
If we take 4336 away from 4624, we end up with 288.
Grab the next digit (1) from the dividend, add it to 288, then carry on: 2881 / 542

On to step 6:
When dividing 2881 by 542, we get 5 with a remainder of 171.
Use 5 as the next digit of our solution. 
Result so far: 1185.0
If we subtract 2710 from 2881, we get 171.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1710, and continue the process.

Let's proceed to step 7:
542 can be fit into 1710 3 times, resulting in a remainder of 84.
Use 3 as the next digit of our solution. 
Result so far: 1185.3
If we take 1626 away from 1710, we end up with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Going ahead to step 8:
The number 542 fits into 840 1 times, leaving a remainder of 298.
Write down 1 as next digit of the result. 
Result so far: 1185.31
If we take 542 away from 840, we end up with 298.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2980, and continue the process.

Moving on to step 9:
542 can be fit into 2980 5 times, resulting in a remainder of 270.
Put 5 as the next digit of the answer. 
Result so far: 1185.315
Deduct 2710 from 2980 and we're left with 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

On to step 10:
2700 divided by 542 is 4 with a remainder of 532.
Use 4 as the next digit of our solution. 
Result so far: 1185.3154
Subtracting 2168 from 2700 leaves us with 532.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5320, and continue the process.

Moving on to step 11:
542 can be fit into 5320 9 times, resulting in a remainder of 442.
The next digit of our result is 9. 
Result so far: 1185.31549
Subtracting 4878 from 5320 leaves us with 442.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4420, and continue the process.

Step 12:
When dividing 4420 by 542, we get 8 with a remainder of 84.
Write down 8 as next digit of the result. 
Result so far: 1185.315498
The remainder is 84 after subtracting 4336 from 4420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Moving on to step 13:
840 divided by 542 is 1 with a remainder of 298.
The next digit of our result is 1. 
Result so far: 1185.3154981
Subtracting 542 from 840 leaves us with 298.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2980, and continue the process.

Advancing to step 14:
542 can be fit into 2980 5 times, resulting in a remainder of 270.
Use 5 as the next digit of our solution. 
Result so far: 1185.31549815
Deduct 2710 from 2980 and we're left with 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

After the division, we end up with 1185.31549815 and a remainder of 2.7e-07.