87964 divided by 45 
We're looking to find how many times 45 goes into 87964.

Going ahead to step 1:
45 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 45

Step 2:
If we divide 87 by 45, we get 1 and a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 45 from 87 leaves us with 42.
Bring next digit (9) of the dividend behind the 42 and repeat the process: 429 / 45

Step 3:
If we divide 429 by 45, we get 9 and a remainder of 24.
Write down 9 as next digit of the result. 
Result so far: 19.0
If we subtract 405 from 429, we get 24.
Append the next digit (6) from the dividend to 24 and continue with: 246 / 45

Let's proceed to step 4:
The number 45 fits into 246 5 times, leaving a remainder of 21.
Put 5 as the next digit of the answer. 
Result so far: 195.0
Subtracting 225 from 246 leaves us with 21.
Bring next digit (4) of the dividend behind the 21 and repeat the process: 214 / 45

Let's proceed to step 5:
214 divided by 45 is 4 with a remainder of 34.
Use 4 as the next digit of our solution. 
Result so far: 1954.0
The remainder is 34 after subtracting 180 from 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 6:
The number 45 fits into 340 7 times, leaving a remainder of 25.
The number 7 becomes the next digit in our result. 
Result so far: 1954.7
If we subtract 315 from 340, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 7:
250 divided by 45 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 1954.75
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
When dividing 250 by 45, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 1954.755
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 1954.755 with a remainder of 0.0025.