Let's divide 257059 by 16
We're looking to find how many times 16 goes into 257059.

On to step 1:
The number 16 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 16

Advancing to step 2:
25 divided by 16 is 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 16 from 25, we get 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 16

Advancing to step 3:
16 goes into 97 6 times with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtract 96 from 97 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 16

On to step 4:
16 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 160.0
Subtract 0 from 10 to get 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 16

Going ahead to step 5:
If we divide 105 by 16, we get 6 and a remainder of 9.
Use 6 as the next digit of our solution. 
Result so far: 1606.0
The remainder is 9 after subtracting 96 from 105.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 16

Step 6:
When dividing 99 by 16, we get 6 with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 16066.0
The remainder is 3 after subtracting 96 from 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
If we divide 30 by 16, we get 1 and a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 16066.1
Subtracting 16 from 30 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
16 can be fit into 140 8 times, resulting in a remainder of 12.
The next digit of our result is 8. 
Result so far: 16066.18
Subtracting 128 from 140 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
If we divide 120 by 16, we get 7 and a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 16066.187
Deduct 112 from 120 and we're left 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.

Step 10:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 16066.1875
Subtracting 80 from 80 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 16066.1875
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 12:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 16066.1875
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 16066.1875, with a leftover of 0.0.