We divide 257625 by 7
We want to figure out the number of times 257625 can be divided by 7.

Going ahead to step 1:
2 divided by 7 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 2, we 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.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 21 from 25 and we're left with 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 7

Step 3:
7 goes into 47 6 times with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
If we take 42 away from 47, we end up with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 7

Step 4:
If we divide 56 by 7, we get 8 and a remainder of 0.
The next digit of our result is 8. 
Result so far: 368.0
If we subtract 56 from 56, we get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 7

Going ahead to step 5:
When dividing 2 by 7, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 3680.0
If we subtract 0 from 2, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 7

Going ahead to step 6:
7 can be fit into 25 3 times, resulting in a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 36803.0
Subtracting 21 from 25 leaves us 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 7:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 36803.5
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.

Moving on 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: 36803.57
Deduct 49 from 50 and we're left 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 9:
10 divided by 7 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 36803.571
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.

Step 10:
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: 36803.5714
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.

Going ahead to step 11:
7 can be fit into 20 2 times, resulting in a remainder of 6.
The next digit of our result is 2. 
Result so far: 36803.57142
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 36803.571428
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.

Advancing to step 13:
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: 36803.5714285
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.

Let's proceed to step 14:
When dividing 50 by 7, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 36803.57142857
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.

After the division, we end up with 36803.57142857 and a remainder of 1e-09.