70106554 ÷ 642 
The aim is to understand the frequency of 642 in 70106554.

Let's proceed to step 1:
642 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 642

Advancing to step 2:
If we divide 70 by 642, we get 0 and a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 70 after subtracting 0 from 70.
Fetch the next digit (1) from the dividend, attach it to 70 and continue: 701 / 642

Step 3:
When dividing 701 by 642, we get 1 with a remainder of 59.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 59 after subtracting 642 from 701.
Take the next digit (0) from the dividend and append it to 59, then repeat: 590 / 642

Moving on to step 4:
If we divide 590 by 642, we get 0 and a remainder of 590.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 590 after subtracting 0 from 590.
Bring next digit (6) of the dividend behind the 590 and repeat the process: 5906 / 642

Moving on to step 5:
5906 divided by 642 is 9 with a remainder of 128.
Record the quotient 9 as the next digit in the result. 
Result so far: 109.0
Deduct 5778 from 5906 and we're left with 128.
Append the next digit (5) from the dividend to 128 and continue with: 1285 / 642

On to step 6:
642 goes into 1285 2 times with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 1092.0
The remainder is 1 after subtracting 1284 from 1285.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 642

On to step 7:
642 can be fit into 15 0 times, resulting in a remainder of 15.
The next digit of our result is 0. 
Result so far: 10920.0
If we take 0 away from 15, we end up with 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 642

Advancing to step 8:
If we divide 154 by 642, we get 0 and a remainder of 154.
The number 0 becomes the next digit in our result. 
Result so far: 109200.0
The remainder is 154 after subtracting 0 from 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1540, and continue the process.

Step 9:
If we divide 1540 by 642, we get 2 and a remainder of 256.
Put 2 as the next digit of the answer. 
Result so far: 109200.2
Subtracting 1284 from 1540 leaves us with 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

On to step 10:
When dividing 2560 by 642, we get 3 with a remainder of 634.
Use 3 as the next digit of our solution. 
Result so far: 109200.23
Subtracting 1926 from 2560 leaves us with 634.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6340, and continue the process.

Advancing to step 11:
6340 divided by 642 is 9 with a remainder of 562.
The next digit of our result is 9. 
Result so far: 109200.239
If we take 5778 away from 6340, we end up with 562.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5620, and continue the process.

Let's proceed to step 12:
642 goes into 5620 8 times with a remainder of 484.
The number 8 becomes the next digit in our result. 
Result so far: 109200.2398
Subtract 5136 from 5620 to get 484.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4840, and continue the process.

On to step 13:
If we divide 4840 by 642, we get 7 and a remainder of 346.
Use 7 as the next digit of our solution. 
Result so far: 109200.23987
Subtract 4494 from 4840 to get 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

On to step 14:
The number 642 fits into 3460 5 times, leaving a remainder of 250.
Use 5 as the next digit of our solution. 
Result so far: 109200.239875
If we take 3210 away from 3460, we end up with 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Let's proceed to step 15:
642 can be fit into 2500 3 times, resulting in a remainder of 574.
The next digit of our result is 3. 
Result so far: 109200.2398753
If we subtract 1926 from 2500, we get 574.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5740, and continue the process.

Step 16:
If we divide 5740 by 642, we get 8 and a remainder of 604.
The number 8 becomes the next digit in our result. 
Result so far: 109200.23987538
If we take 5136 away from 5740, we end up with 604.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6040, and continue the process.

The final result is 109200.23987538 with a remainder of 6.04e-07.