Question

How do you divide 969 by 26 ?

Answer 1

Hint: Here to divide 969 by 26 first we need to find the last digit of dividend is even or odd, if it is even then the whole number is divided by 2. Here we need it to divide by 26 as it’s the divisor hence look on to the multiplication table of 26 in which after multiplying, we get any answer of the dividend.

Complete step by step answer:
In the given question 969 is dividend and 26 is the divisor and to divide 969 by 26 first we must know that when we divide a smaller number into a bigger number, we are trying to find the biggest number, here 26 can be multiplied by 969 in order to get the quotient. We first need to find how many ones, tens and so on are present in the dividend based on that we can solve. Let us find whether 26 can be multiplied with any number of dividends given or close value to the tens or hundreds place.

Hence here we get \[26 \times 3 = 78\] which is a close value of 96, after dividing with it and subtracting the values \[96 - 78\] we get 18 as remainder left and for finding the next term the ones term must be included. By taking the ones term with the remainder part now the remainder is 189.Now again finding out the values of 189 which multiplies with 26, hence \[26 \times 7 = 182\] which is close value of 189, hence \[189 - 182 = 7\] by this we get 7 as remainder term left after dividing.

Hence when 969 is divided by 26 the quotient is 37 and something with decimal values as the remainder is seven not zero.

Note:For dividing any value we must go on multiplying the divisor value to get the dividend term. Hence in simplified form,
\[\dfrac{{\left( {37 \times 26} \right) + 7}}{{26}} = \dfrac{{\left( {962} \right) + 7}}{{26}} \\
\Rightarrow\dfrac{{\left( {37 \times 26} \right) + 7}}{{26}} = \dfrac{{969}}{{26}}\]
In which after dividing we get, \[\dfrac{{969}}{{26}} = 37\dfrac{7}{{26}}\]
Hence in this way we can divide the values for any given term.