705258 ÷ 7 
We're looking to find how many times 7 goes into 705258.

Going ahead to step 1:
7 can be fit into 7 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 7 from 7, we get 0.
Fetch the next digit (0) from the dividend, attach it to 0 and continue: 0 / 7

Step 2:
0 divided by 7 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we subtract 0 from 0, we get 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 7

Let's proceed to step 3:
7 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 100.0
If we subtract 0 from 5, we get 5.
Grab the next digit (2) from the dividend, add it to 5, then carry on: 52 / 7

Moving on to step 4:
When dividing 52 by 7, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 1007.0
If we take 49 away from 52, we end up with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 7

Step 5:
If we divide 35 by 7, we get 5 and a remainder of 0.
The next digit of our result is 5. 
Result so far: 10075.0
Subtract 35 from 35 to get 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 7

On to step 6:
8 divided by 7 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 100751.0
If we subtract 7 from 8, 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.

On to step 7:
10 divided by 7 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 100751.1
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.

On to step 8:
30 divided by 7 is 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 100751.14
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 9:
20 divided by 7 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 100751.142
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.

Going ahead to step 10:
When dividing 60 by 7, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 100751.1428
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.

On to step 11:
If we divide 40 by 7, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 100751.14285
Subtract 35 from 40 to get 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 12:
If we divide 50 by 7, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 100751.142857
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.

Let's proceed to step 13:
10 divided by 7 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 100751.1428571
If we take 7 away from 10, we end up 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.

Step 14:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 100751.14285714
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.

After the division, we end up with 100751.14285714 and a remainder of 2e-09.