Let's divide 257969 by 7
We want to divide 257969 by 7.

Going ahead to step 1:
If we divide 2 by 7, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 7

On to step 2:
When dividing 25 by 7, we get 3 with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 21 from 25 and we're left with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 7

Going ahead to step 3:
The number 7 fits into 47 6 times, leaving a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
Subtract 42 from 47 to get 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 7

Going ahead to step 4:
7 goes into 59 8 times with a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 368.0
Deduct 56 from 59 and we're left with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 7

Moving on to step 5:
If we divide 36 by 7, we get 5 and a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 3685.0
Subtract 35 from 36 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 7

Advancing to step 6:
If we divide 19 by 7, we get 2 and a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 36852.0
If we take 14 away from 19, 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.

Going ahead to step 7:
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: 36852.7
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.

Moving on to step 8:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 36852.71
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 9:
If we divide 30 by 7, we get 4 and a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 36852.714
Deduct 28 from 30 and we're left 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.

Going ahead to step 10:
20 divided by 7 is 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 36852.7142
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.

Advancing to step 11:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 36852.71428
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.

Let's proceed to step 12:
7 goes into 40 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 36852.714285
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.

Step 13:
50 divided by 7 is 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 36852.7142857
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 14:
If we divide 10 by 7, we get 1 and a remainder of 3.
The next digit of our result is 1. 
Result so far: 36852.71428571
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.

The final result is 36852.71428571 with a remainder of 3e-09.