Question

How do you divide $64 \div 4$ using long division?

Answer 1

Hint: Here we are asked to divide sixty-four by four using the long division method. For that, we first need to find a multiple of four (since the divisor here is four) so that we get a product nearest or equal to sixty-four. Then we will subtract the dividend and the product we found for the remainder. This process is repeated till we get the remainder as zero. Then the quotient (multiple we found) will be the answer.

Complete answer:
We aim to divide the given number that is sixty-four by four using the long division method.
First, we need to place the divisor and the dividend in the right place to get started. That is like the below form
$4\mathop{\left){\vphantom{1{64}}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{{64}}}}
\limits^{\displaystyle \,\,\, {}}$
Now we have to group the digit in the dividend. since six is greater than the divisor we will take the first digit alone for the next step.
Then, we need to go through four tables that are multiples of four. As we can see that we get the product as four for one-times in four tables. That is $4 \times 1 = 4$ because this is the product that is nearest to six. So, we get
\[4\mathop{\left){\vphantom{1
64 \\
\underline {4{\text{ }}} \\
}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{
64 \\
\underline {4{\text{ }}} \\
}}}
\limits^{\displaystyle \,\,\, 1}\]
Now we have to subtract four from the dividend.
$4\mathop{\left){\vphantom{1
64 \\
\underline {4{\text{ }}} \\
2 \\
}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{
64 \\
\underline {4{\text{ }}} \\
2 \\
}}}
\limits^{\displaystyle \,\,\, 1}$
Now our new dividend is two. Since two is smaller than our divisor four we need to bring down the next digit from the old dividend that is four. So, we get
$4\mathop{\left){\vphantom{1
64 \\
\underline {4{\text{ }}} \\
24 \\
}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{
64 \\
\underline {4{\text{ }}} \\
24 \\
}}}
\limits^{\displaystyle \,\,\, 1}$
Now the dividend has become twenty-four. Let us again find the multiple of four which is nearest of equal to twenty-four. We have that, six times four is twenty-four that is $4 \times 6 = 24$ . So, we get
$4\mathop{\left){\vphantom{1
64 \\
\underline {4{\text{ }}} \\
24 \\
\underline {24} \\
}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{
64 \\
\underline {4{\text{ }}} \\
24 \\
\underline {24} \\
}}}
\limits^{\displaystyle \,\,\, {16}}$
Now on subtracting that we get
$4\mathop{\left){\vphantom{1
64 \\
\underline {4{\text{ }}} \\
24 \\
\underline {24} \\
{\text{ 0}} \\
}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{
64 \\
\underline {4{\text{ }}} \\
24 \\
\underline {24} \\
{\text{ 0}} \\
}}}
\limits^{\displaystyle \,\,\, {16}}$
We have got the remainder as zero so we will stop here.
Thus, sixty-four divided by four we get sixteen. That is $64 \div 4 = 6$ .

Note:
Let a and b are any number and if $a \div b$ then a is said to be a dividend and b is said to be the divisor. And in the long division method and the number we put on the top (that is $16$) is called the quotient and that will be the answer for $a \div b$ . We have to give more attention to finding the multiple of the divisor we must only take the value only if it is nearest or equal to the divided.