159638 ÷ 7 
Our goal is to divide 159638 by 7.

Advancing to step 1:
If we divide 1 by 7, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 7

Step 2:
15 divided by 7 is 2 with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 14 from 15 and we're left with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 7

Let's proceed to step 3:
19 divided by 7 is 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 22.0
If we subtract 14 from 19, we get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 7

Moving on to step 4:
56 divided by 7 is 8 with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 228.0
Subtract 56 from 56 to get 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 7

Moving on to step 5:
When dividing 3 by 7, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 2280.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 7

Moving on to step 6:
7 can be fit into 38 5 times, resulting in a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 22805.0
Subtract 35 from 38 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.

Let's proceed to step 7:
When dividing 30 by 7, we get 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 22805.4
Subtract 28 from 30 to 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.

On to step 8:
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: 22805.42
Deduct 14 from 20 and we're left 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.

Going ahead to step 9:
The number 7 fits into 60 8 times, leaving a remainder of 4.
The next digit of our result is 8. 
Result so far: 22805.428
If we take 56 away from 60, we end up 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.

Advancing to step 10:
When dividing 40 by 7, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 22805.4285
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.

Step 11:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 22805.42857
Subtract 49 from 50 to 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.

Step 12:
10 divided by 7 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 22805.428571
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.

Going ahead to step 13:
If we divide 30 by 7, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 22805.4285714
Subtract 28 from 30 to 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 14:
7 goes into 20 2 times with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 22805.42857142
Deduct 14 from 20 and we're left 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.

Our division results in 22805.42857142 with a remaining 6e-09.