Let's divide 263019 by 7
We want to divide 263019 by 7.

Advancing to step 1:
When dividing 2 by 7, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 7

Moving on to step 2:
The number 7 fits into 26 3 times, leaving a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 21 from 26, we get 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 7

Let's proceed to step 3:
7 can be fit into 53 7 times, resulting in a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
The remainder is 4 after subtracting 49 from 53.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 7

Advancing to step 4:
7 goes into 40 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 375.0
Subtract 35 from 40 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 7

On to step 5:
7 goes into 51 7 times with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 3757.0
If we take 49 away from 51, we end up with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 7

Moving on to step 6:
7 goes into 29 4 times with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 37574.0
Subtracting 28 from 29 leaves us 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.

Step 7:
If we divide 10 by 7, we get 1 and a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 37574.1
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.

Moving on to step 8:
7 can be fit into 30 4 times, resulting in a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 37574.14
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.

On to step 9:
7 goes into 20 2 times with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 37574.142
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.

On to step 10:
7 can be fit into 60 8 times, resulting in a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 37574.1428
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 11:
If we divide 40 by 7, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 37574.14285
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.

Step 12:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 37574.142857
If we take 49 away from 50, we end up 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 13:
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: 37574.1428571
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.

Let's proceed to step 14:
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: 37574.14285714
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.

In conclusion, the division gives 37574.14285714 with a balance of 2e-09.