152338 ÷ 7 
We want to figure out the number of times 152338 can be divided by 7.

On to step 1:
When dividing 1 by 7, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 7

Advancing to step 2:
15 divided by 7 is 2 with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 14 from 15 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 7

Step 3:
If we divide 12 by 7, we get 1 and a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 21.0
Deduct 7 from 12 and we're left with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 7

Advancing to step 4:
When dividing 53 by 7, we get 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 217.0
Deduct 49 from 53 and we're left with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 7

Advancing to step 5:
43 divided by 7 is 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 2176.0
The remainder is 1 after subtracting 42 from 43.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 7

Advancing to step 6:
18 divided by 7 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 21762.0
Subtracting 14 from 18 leaves us 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.

On to step 7:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 21762.5
Subtracting 35 from 40 leaves us with 5.
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 8:
When dividing 50 by 7, we get 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 21762.57
If we subtract 49 from 50, we get 1.
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 9:
When dividing 10 by 7, we get 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 21762.571
Subtract 7 from 10 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 10:
The number 7 fits into 30 4 times, leaving a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 21762.5714
The remainder is 2 after subtracting 28 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
If we divide 20 by 7, we get 2 and a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 21762.57142
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 21762.571428
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 13:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 21762.5714285
If we subtract 35 from 40, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 14:
7 goes into 50 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 21762.57142857
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.

After the division, we end up with 21762.57142857 and a remainder of 1e-09.