259102 ÷ 7 
Our goal is to divide 259102 by 7.

Going ahead 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
Subtract 0 from 2 to get 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 7

Going ahead to step 2:
7 can be fit into 25 3 times, resulting in a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 21 from 25, we get 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 7

Advancing to step 3:
The number 7 fits into 49 7 times, leaving a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 37.0
Deduct 49 from 49 and we're left with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 7

Step 4:
7 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 370.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 7

Advancing to step 5:
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: 3701.0
Deduct 7 from 10 and we're left with 3.
Append the next digit (2) from the dividend to 3 and continue with: 32 / 7

Step 6:
7 can be fit into 32 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 37014.0
If we take 28 away from 32, 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.

Step 7:
7 can be fit into 40 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 37014.5
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.

Going ahead to step 8:
50 divided by 7 is 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 37014.57
Subtracting 49 from 50 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 9:
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: 37014.571
Deduct 7 from 10 and we're left 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.

Advancing to step 10:
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: 37014.5714
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.

Step 11:
When dividing 20 by 7, we get 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 37014.57142
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.

Let's proceed to step 12:
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: 37014.571428
Subtract 56 from 60 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.

Moving on to step 13:
7 goes into 40 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 37014.5714285
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.

Moving on to step 14:
50 divided by 7 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 37014.57142857
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.

The final outcome is 37014.57142857, with a leftover of 1e-09.