34638 ÷ 64 
Our goal is to divide 34638 by 64.

Going ahead to step 1:
When dividing 3 by 64, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 64

Step 2:
If we divide 34 by 64, we get 0 and a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Append the next digit (6) from the dividend to 34 and continue with: 346 / 64

Advancing to step 3:
If we divide 346 by 64, we get 5 and a remainder of 26.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 320 from 346 leaves us with 26.
Append the next digit (3) from the dividend to 26 and continue with: 263 / 64

On to step 4:
When dividing 263 by 64, we get 4 with a remainder of 7.
Put 4 as the next digit of the answer. 
Result so far: 54.0
If we take 256 away from 263, we end up with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 64

Advancing to step 5:
64 goes into 78 1 times with a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 541.0
Deduct 64 from 78 and we're left 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.

Advancing to step 6:
64 can be fit into 140 2 times, resulting in a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 541.2
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.

On to step 7:
64 goes into 120 1 times with a remainder of 56.
Write down 1 as next digit of the result. 
Result so far: 541.21
Deduct 64 from 120 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 8:
If we divide 560 by 64, we get 8 and a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 541.218
If we subtract 512 from 560, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 9:
480 divided by 64 is 7 with a remainder of 32.
Write down 7 as next digit of the result. 
Result so far: 541.2187
Subtract 448 from 480 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 10:
The number 64 fits into 320 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 541.21875
Deduct 320 from 320 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.

Moving on to step 11:
64 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 541.21875
The remainder is 0 after subtracting 0 from 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 64 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 541.21875
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 541.21875 with a remaining 0.0.