175001 ÷ 7 
We're looking to find how many times 7 goes into 175001.

Step 1:
When dividing 1 by 7, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 7

Step 2:
The number 7 fits into 17 2 times, leaving a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 14 away from 17, we end up with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 7

Moving on to step 3:
35 divided by 7 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 25.0
If we take 35 away from 35, we end up with 0.
Fetch the next digit (0) from the dividend, attach it to 0 and continue: 0 / 7

Let's proceed to step 4:
7 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 250.0
Subtracting 0 from 0 leaves us with 0.
Take the next digit (0) from the dividend and append it to 0, then repeat: 0 / 7

Going ahead to step 5:
If we divide 0 by 7, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 2500.0
Subtract 0 from 0 to get 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 7

Step 6:
When dividing 1 by 7, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 25000.0
Deduct 0 from 1 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
7 goes into 10 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 25000.1
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
When dividing 30 by 7, we get 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 25000.14
If we subtract 28 from 30, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
7 can be fit into 20 2 times, resulting in a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 25000.142
If we take 14 away from 20, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
60 divided by 7 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 25000.1428
Deduct 56 from 60 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.

Going ahead to step 11:
7 can be fit into 40 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 25000.14285
The remainder is 5 after subtracting 35 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 12:
7 goes into 50 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 25000.142857
The remainder is 1 after subtracting 49 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 13:
The number 7 fits into 10 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 25000.1428571
If we take 7 away from 10, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 14:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 25000.14285714
Subtracting 28 from 30 leaves us 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.

The final outcome is 25000.14285714, with a leftover of 2e-09.