in division why should the remainder not be greater than the divisor
the number can be divided by a greater sum
then.
If it is greater, that means the number could have gone into the dividend one more time.
Example 12 divided by 5
If you said 1 with a remainder of 7 that is wrong. We know we are wrong because 7 is bigger than 5.
It is 2 with a remainder of 2
If it were greater, then the dividend should be larger.
Thank you
If it were greater ,than the dividend should be larger
In division, the remainder should not be greater than the divisor because the remainder is the left-over amount that cannot be evenly divided by the divisor. When dividing a dividend by a divisor, the goal is to find out how many times the divisor can go into the dividend without leaving any remainder.
Here's an explanation of the steps involved in division:
Step 1: Start by dividing the leftmost digit(s) of the dividend by the divisor.
Step 2: If the divisor is greater than the dividend, the division process stops, and the dividend becomes the remainder. In this case, the remainder cannot be greater than the divisor since the divisor is already greater than the dividend.
Step 3: If the divisor is less than or equal to the dividend, divide them, writing the quotient above and the remainder below.
Step 4: Bring down the next digit of the dividend and continue dividing until there are no more digits left.
Step 5: The final result is the quotient, which represents how many times the divisor goes evenly into the dividend, and the remainder is any left-over amount.
If the remainder were greater than the divisor, it would imply that the divisor could go into the dividend more times. However, if this were the case, we would continue dividing until the remainder is less than the divisor to obtain an accurate result.
For example:
Dividend: 50
Divisor: 7
50 ÷ 7 = 7 (quotient) with a remainder of 1
In this example, the remainder is 1, and it is less than the divisor (7), which means that 7 can go into 50 seven times with a remainder of 1.