divide in the indicated base
2 ___
3 /121
3
To divide in a different base, we follow a similar process to dividing in base 10. I will explain the steps to divide the number 121 in base 3 by 3.
Step 1: Write down the number to be divided, which is 121 in base 3.
Step 2: Start dividing from the leftmost digit. In this case, we have 1 as the leftmost digit. Is 1 divisible by 3? No, it is not. So, we move to the next digit.
Step 3: Bring down the next digit. Now we have 12 as the number to be divided.
Step 4: Is 12 divisible by 3? Yes, it is. 12 divided by 3 equals 4. Write down the result as the next digit of the quotient.
Step 5: Multiply the quotient digit (4) by the divisor (3). 4 multiplied by 3 equals 12.
Step 6: Subtract the result (12) from the number being divided (12) and bring down the next digit. 12 minus 12 equals 0.
Step 7: We have no more digits to bring down, and the result is 0. Therefore, the quotient is 4.
So, when dividing 121 in base 3 by 3, the quotient is 4.