97874 ÷ 64 
We're looking to find how many times 64 goes into 97874.

Step 1:
If we divide 9 by 64, we get 0 and a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 64

Going ahead to step 2:
64 goes into 97 1 times with a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 64 from 97 to get 33.
Bring next digit (8) of the dividend behind the 33 and repeat the process: 338 / 64

Moving on to step 3:
When dividing 338 by 64, we get 5 with a remainder of 18.
The next digit of our result is 5. 
Result so far: 15.0
If we subtract 320 from 338, we get 18.
Bring next digit (7) of the dividend behind the 18 and repeat the process: 187 / 64

Step 4:
The number 64 fits into 187 2 times, leaving a remainder of 59.
Write down 2 as next digit of the result. 
Result so far: 152.0
If we take 128 away from 187, we end up with 59.
Fetch the next digit (4) from the dividend, attach it to 59 and continue: 594 / 64

Let's proceed to step 5:
64 can be fit into 594 9 times, resulting in a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 1529.0
The remainder is 18 after subtracting 576 from 594.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 6:
64 can be fit into 180 2 times, resulting in a remainder of 52.
Record the quotient 2 as the next digit in the result. 
Result so far: 1529.2
Subtract 128 from 180 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 7:
The number 64 fits into 520 8 times, leaving a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 1529.28
The remainder is 8 after subtracting 512 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
When dividing 80 by 64, we get 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 1529.281
If we subtract 64 from 80, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 9:
The number 64 fits into 160 2 times, leaving a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 1529.2812
If we take 128 away from 160, we end up with 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:
320 divided by 64 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 1529.28125
The remainder is 0 after subtracting 320 from 320.
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 64 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 1529.28125
If we subtract 0 from 0, we 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.

Let's proceed to step 12:
64 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1529.28125
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 quotient of the division is 1529.28125, and the remainder is 0.0.