657821 ÷ 16 
We're looking to find how many times 16 goes into 657821.

Advancing to step 1:
The number 16 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 16

Let's proceed to step 2:
When dividing 65 by 16, we get 4 with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 64 from 65, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 16

Moving on to step 3:
17 divided by 16 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 41.0
The remainder is 1 after subtracting 16 from 17.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 16

Moving on to step 4:
The number 16 fits into 18 1 times, leaving a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 411.0
The remainder is 2 after subtracting 16 from 18.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 16

On to step 5:
22 divided by 16 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 4111.0
The remainder is 6 after subtracting 16 from 22.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 16

Advancing to step 6:
When dividing 61 by 16, we get 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 41113.0
If we take 48 away from 61, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
The number 16 fits into 130 8 times, leaving a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 41113.8
Deduct 128 from 130 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
When dividing 20 by 16, we get 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 41113.81
Subtract 16 from 20 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.

On to step 9:
16 goes into 40 2 times with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 41113.812
If we subtract 32 from 40, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
16 goes into 80 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 41113.8125
Subtract 80 from 80 to get 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:
If we divide 0 by 16, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 41113.8125
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.

Let's proceed to step 12:
0 divided by 16 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 41113.8125
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.

The quotient of the division is 41113.8125, and the remainder is 0.0.