Write and solve a division problem that divides a 4-digit number by a 2-digit number. How did you estimate the first digit of the quotient?
Problem: Divide 4876 by 23.
Estimating the first digit of the quotient can be done by dividing the first digit of the dividend (4) by the first digit of the divisor (2), which equals 2. Since 2 is the closest whole number to the result of the division, we can estimate the first digit of the quotient to be 2.
Now, let's solve the division problem:
```
211
__________
23 | 4876
- 46 (23*2=46)
-----
6
- 0 (23*0=0)
-----
60
- 46 (23*2=46)
-----
14
- 11 (23*0=0)
-----
3
Therefore, 4876 divided by 23 equals 211 with a remainder of 3.