145821 ÷ 7 
Our goal is to divide 145821 by 7.

Going ahead to step 1:
If we divide 1 by 7, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 7

Let's proceed to step 2:
7 can be fit into 14 2 times, resulting in a remainder of 0.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 14 from 14 and we're left with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 7

Let's proceed to step 3:
5 divided by 7 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 20.0
Subtract 0 from 5 to get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 7

Moving on to step 4:
The number 7 fits into 58 8 times, leaving a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 208.0
Subtracting 56 from 58 leaves us with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 7

Moving on to step 5:
The number 7 fits into 22 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 2083.0
The remainder is 1 after subtracting 21 from 22.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 7

Going ahead to step 6:
7 can be fit into 11 1 times, resulting in a remainder of 4.
The next digit of our result is 1. 
Result so far: 20831.0
Subtract 7 from 11 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
7 goes into 40 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 20831.5
If we take 35 away from 40, we end up 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:
7 can be fit into 50 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 20831.57
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.

Advancing to step 9:
If we divide 10 by 7, we get 1 and a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 20831.571
Subtracting 7 from 10 leaves us 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.

Going ahead to step 10:
7 goes into 30 4 times with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 20831.5714
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 11:
7 can be fit into 20 2 times, resulting in a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 20831.57142
The remainder is 6 after subtracting 14 from 20.
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 12:
When dividing 60 by 7, we get 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 20831.571428
If we subtract 56 from 60, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 13:
When dividing 40 by 7, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 20831.5714285
Deduct 35 from 40 and we're left 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.

Step 14:
When dividing 50 by 7, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 20831.57142857
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.

The final result is 20831.57142857 with a remainder of 1e-09.