641627 ÷ 16 
Let's see how many times 16 fits into 641627.

Advancing to step 1:
6 divided by 16 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 16

Going ahead to step 2:
The number 16 fits into 64 4 times, leaving a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 64 from 64, we get 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 16

Let's proceed to step 3:
1 divided by 16 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 40.0
If we subtract 0 from 1, we get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 16

Step 4:
If we divide 16 by 16, we get 1 and a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 401.0
If we take 16 away from 16, we end up with 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 16

Step 5:
16 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 4010.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 16

Moving on to step 6:
27 divided by 16 is 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 40101.0
Subtract 16 from 27 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
If we divide 110 by 16, we get 6 and a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 40101.6
If we subtract 96 from 110, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
16 goes into 140 8 times with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 40101.68
The remainder is 12 after subtracting 128 from 140.
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:
16 can be fit into 120 7 times, resulting in a remainder of 8.
The next digit of our result is 7. 
Result so far: 40101.687
The remainder is 8 after subtracting 112 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
16 goes into 80 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 40101.6875
The remainder is 0 after subtracting 80 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 40101.6875
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.

Advancing to step 12:
0 divided by 16 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 40101.6875
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.

In conclusion, the division gives 40101.6875 with a balance of 0.0.