257460 ÷ 81 
We want to figure out the number of times 257460 can be divided by 81.

On to step 1:
When dividing 2 by 81, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 81

On to step 2:
The number 81 fits into 25 0 times, leaving a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Grab the next digit (7) from the dividend, add it to 25, then carry on: 257 / 81

Advancing to step 3:
257 divided by 81 is 3 with a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 243 from 257 leaves us with 14.
Fetch the next digit (4) from the dividend, attach it to 14 and continue: 144 / 81

Step 4:
If we divide 144 by 81, we get 1 and a remainder of 63.
The next digit of our result is 1. 
Result so far: 31.0
If we take 81 away from 144, we end up with 63.
Fetch the next digit (6) from the dividend, attach it to 63 and continue: 636 / 81

Let's proceed to step 5:
The number 81 fits into 636 7 times, leaving a remainder of 69.
The number 7 becomes the next digit in our result. 
Result so far: 317.0
Subtracting 567 from 636 leaves us with 69.
Take the next digit (0) from the dividend and append it to 69, then repeat: 690 / 81

Step 6:
81 goes into 690 8 times with a remainder of 42.
The next digit of our result is 8. 
Result so far: 3178.0
Subtract 648 from 690 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 7:
When dividing 420 by 81, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 3178.5
If we take 405 away from 420, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
81 can be fit into 150 1 times, resulting in a remainder of 69.
Put 1 as the next digit of the answer. 
Result so far: 3178.51
If we take 81 away from 150, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 9:
The number 81 fits into 690 8 times, leaving a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 3178.518
Deduct 648 from 690 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 10:
81 can be fit into 420 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 3178.5185
Deduct 405 from 420 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 11:
81 goes into 150 1 times with a remainder of 69.
Put 1 as the next digit of the answer. 
Result so far: 3178.51851
Deduct 81 from 150 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 12:
If we divide 690 by 81, we get 8 and a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 3178.518518
The remainder is 42 after subtracting 648 from 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 13:
81 goes into 420 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 3178.5185185
Subtract 405 from 420 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 14:
150 divided by 81 is 1 with a remainder of 69.
The number 1 becomes the next digit in our result. 
Result so far: 3178.51851851
If we take 81 away from 150, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

The quotient of the division is 3178.51851851, and the remainder is 6.9e-08.