257416 divided by 69 
Our goal is to divide 257416 by 69.

Moving on to step 1:
69 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
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 / 69

Moving on to step 2:
When dividing 25 by 69, we get 0 with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 69

Step 3:
69 goes into 257 3 times with a remainder of 50.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 207 from 257 to get 50.
Take the next digit (4) from the dividend and append it to 50, then repeat: 504 / 69

Moving on to step 4:
The number 69 fits into 504 7 times, leaving a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 37.0
Deduct 483 from 504 and we're left with 21.
Fetch the next digit (1) from the dividend, attach it to 21 and continue: 211 / 69

Let's proceed to step 5:
211 divided by 69 is 3 with a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 373.0
Subtract 207 from 211 to get 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 69

Let's proceed to step 6:
If we divide 46 by 69, we get 0 and a remainder of 46.
Put 0 as the next digit of the answer. 
Result so far: 3730.0
Subtracting 0 from 46 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 7:
460 divided by 69 is 6 with a remainder of 46.
The next digit of our result is 6. 
Result so far: 3730.6
Subtract 414 from 460 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 8:
When dividing 460 by 69, we get 6 with a remainder of 46.
Record the quotient 6 as the next digit in the result. 
Result so far: 3730.66
Subtracting 414 from 460 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

The quotient of the division is 3730.66, and the remainder is 0.046.