100 divided by 6
Understand the Problem
The question is asking to perform a division operation where 100 is divided by 6. This involves determining how many times 6 fits into 100 and what the remainder is.
Answer
16 remainder 4
Answer for screen readers
The quotient is 16 and the remainder is 4
Steps to Solve
- Divide the numbers
To find how many times 6 goes into 100, we perform the division $ 100 \div 6 $.
- Calculate the quotient
When dividing 100 by 6, we get a quotient of 16 and a remainder. This can be written as $ 100 = 6 imes 16 + r $. We calculate: $$ 100 \div 6 = 16.66667 $$
- Determine the remainder
To find the remainder, we subtract $ 6 imes 16 $ from 100: $$ 100 - (6 imes 16) = 100 - 96 = 4 $$
So, the quotient is 16 and the remainder is 4.
The quotient is 16 and the remainder is 4
More Information
In long division, the quotient is the number of times the divisor fits into the dividend, and the remainder is what's left over. In this case, 6 goes into 100 sixteen times, with 4 left over. This can be written as 100 = 6×16 + 4, and as a decimal, 100 divided by 6 is approximately 16.66667.
Tips
A common mistake is to forget to multiply the quotient by the divisor to find the remainder, or to miscalculate the quotient. Always double-check your result to ensure it's correct.
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