1406790 ÷ 172 
The aim is to understand the frequency of 172 in 1406790.

On to step 1:
The number 172 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 172

Going ahead to step 2:
172 goes into 14 0 times with a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 14, we end up with 14.
Include the next digit (0) from the dividend after 14, then repeat: 140 / 172

On to step 3:
172 can be fit into 140 0 times, resulting in a remainder of 140.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 140 to get 140.
Include the next digit (6) from the dividend after 140, then repeat: 1406 / 172

Step 4:
172 goes into 1406 8 times with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 1376 away from 1406, we end up with 30.
Grab the next digit (7) from the dividend, add it to 30, then carry on: 307 / 172

Moving on to step 5:
When dividing 307 by 172, we get 1 with a remainder of 135.
The next digit of our result is 1. 
Result so far: 81.0
If we subtract 172 from 307, we get 135.
Take the next digit (9) from the dividend and append it to 135, then repeat: 1359 / 172

Moving on to step 6:
If we divide 1359 by 172, we get 7 and a remainder of 155.
Use 7 as the next digit of our solution. 
Result so far: 817.0
If we take 1204 away from 1359, we end up with 155.
Include the next digit (0) from the dividend after 155, then repeat: 1550 / 172

Advancing to step 7:
172 can be fit into 1550 9 times, resulting in a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 8179.0
If we take 1548 away from 1550, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
The number 172 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 8179.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
When dividing 200 by 172, we get 1 with a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 8179.01
Subtract 172 from 200 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 10:
The number 172 fits into 280 1 times, leaving a remainder of 108.
The next digit of our result is 1. 
Result so far: 8179.011
If we subtract 172 from 280, we get 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

The final result is 8179.011 with a remainder of 0.0108.