257853 ÷ 35 
We want to figure out the number of times 257853 can be divided by 35.

Moving on to step 1:
35 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 35

Let's proceed to step 2:
If we divide 25 by 35, we get 0 and a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Take the next digit (7) from the dividend and append it to 25, then repeat: 257 / 35

Advancing to step 3:
35 goes into 257 7 times with a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 245 from 257 and we're left with 12.
Fetch the next digit (8) from the dividend, attach it to 12 and continue: 128 / 35

Moving on to step 4:
When dividing 128 by 35, we get 3 with a remainder of 23.
Put 3 as the next digit of the answer. 
Result so far: 73.0
If we take 105 away from 128, we end up with 23.
Append the next digit (5) from the dividend to 23 and continue with: 235 / 35

Going ahead to step 5:
35 goes into 235 6 times with a remainder of 25.
Use 6 as the next digit of our solution. 
Result so far: 736.0
The remainder is 25 after subtracting 210 from 235.
Grab the next digit (3) from the dividend, add it to 25, then carry on: 253 / 35

Advancing to step 6:
The number 35 fits into 253 7 times, leaving a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 7367.0
Subtracting 245 from 253 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
80 divided by 35 is 2 with a remainder of 10.
The next digit of our result is 2. 
Result so far: 7367.2
Deduct 70 from 80 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
When dividing 100 by 35, we get 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 7367.22
If we take 70 away from 100, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 7367.22, and the remainder is 0.03.