We're dividing 42126106 by 695 
The aim is to understand the frequency of 695 in 42126106.

Let's proceed to step 1:
The number 695 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 695

On to step 2:
The number 695 fits into 42 0 times, leaving a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Bring next digit (1) of the dividend behind the 42 and repeat the process: 421 / 695

Going ahead to step 3:
If we divide 421 by 695, we get 0 and a remainder of 421.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 421 to get 421.
Bring next digit (2) of the dividend behind the 421 and repeat the process: 4212 / 695

Let's proceed to step 4:
When dividing 4212 by 695, we get 6 with a remainder of 42.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 4170 from 4212 leaves us with 42.
Append the next digit (6) from the dividend to 42 and continue with: 426 / 695

On to step 5:
If we divide 426 by 695, we get 0 and a remainder of 426.
Record the quotient 0 as the next digit in the result. 
Result so far: 60.0
Subtract 0 from 426 to get 426.
Take the next digit (1) from the dividend and append it to 426, then repeat: 4261 / 695

Moving on to step 6:
If we divide 4261 by 695, we get 6 and a remainder of 91.
Record the quotient 6 as the next digit in the result. 
Result so far: 606.0
Subtract 4170 from 4261 to get 91.
Grab the next digit (0) from the dividend, add it to 91, then carry on: 910 / 695

On to step 7:
695 can be fit into 910 1 times, resulting in a remainder of 215.
Put 1 as the next digit of the answer. 
Result so far: 6061.0
Deduct 695 from 910 and we're left with 215.
Grab the next digit (6) from the dividend, add it to 215, then carry on: 2156 / 695

Let's proceed to step 8:
The number 695 fits into 2156 3 times, leaving a remainder of 71.
Record the quotient 3 as the next digit in the result. 
Result so far: 60613.0
The remainder is 71 after subtracting 2085 from 2156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Moving on to step 9:
If we divide 710 by 695, we get 1 and a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 60613.1
Subtracting 695 from 710 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 10:
The number 695 fits into 150 0 times, leaving a remainder of 150.
Use 0 as the next digit of our solution. 
Result so far: 60613.1
Deduct 0 from 150 and we're left with 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Advancing to step 11:
When dividing 1500 by 695, we get 2 with a remainder of 110.
The number 2 becomes the next digit in our result. 
Result so far: 60613.102
If we take 1390 away from 1500, we end up with 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

Advancing to step 12:
695 goes into 1100 1 times with a remainder of 405.
The number 1 becomes the next digit in our result. 
Result so far: 60613.1021
If we subtract 695 from 1100, we get 405.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4050, and continue the process.

Going ahead to step 13:
695 can be fit into 4050 5 times, resulting in a remainder of 575.
Record the quotient 5 as the next digit in the result. 
Result so far: 60613.10215
Deduct 3475 from 4050 and we're left with 575.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5750, and continue the process.

Step 14:
695 goes into 5750 8 times with a remainder of 190.
Use 8 as the next digit of our solution. 
Result so far: 60613.102158
Subtracting 5560 from 5750 leaves us with 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Let's proceed to step 15:
695 goes into 1900 2 times with a remainder of 510.
Put 2 as the next digit of the answer. 
Result so far: 60613.1021582
Subtract 1390 from 1900 to get 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5100, and continue the process.

Advancing to step 16:
When dividing 5100 by 695, we get 7 with a remainder of 235.
The number 7 becomes the next digit in our result. 
Result so far: 60613.10215827
Subtracting 4865 from 5100 leaves us with 235.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2350, and continue the process.

In conclusion, the division gives 60613.10215827 with a balance of 2.35e-07.