Calcolatrice da frazione a decimale

Your input: convert $$$\frac{2900}{20}$$$ into a decimal.

Write the problem in the special format:

$$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccc}\phantom{1}&\phantom{4}&\phantom{5}&\phantom{.}&\phantom{0}\end{array}&\\20&\phantom{-}\enclose{longdiv}{\begin{array}{cccc}2&9&0&0\end{array}}&\\&\begin{array}{llll}\end{array}&\begin{array}{c}\end{array}\end{array}$$$

Step 1

How many $$$20$$$'s are in $$$2$$$?

The answer is $$$0$$$.

Write down $$$0$$$ in the upper part of the table.

Now, $$$2-20 \cdot 0 = 2 - 0= 2$$$.

Bring down the next digit of the dividend.

$$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}\color{Chartreuse}{0}&\phantom{1}&\phantom{4}&\phantom{5}&\phantom{.}&\phantom{0}\end{array}&\\\color{Magenta}{20}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}\color{Chartreuse}{2}& 9 \downarrow&0&0&.&0\end{array}}&\\&\begin{array}{lllll}-&\phantom{9}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}2&9&\phantom{.}\end{array}&\begin{array}{c}\end{array}\end{array}$$$

Step 2

How many $$$20$$$'s are in $$$29$$$?

The answer is $$$1$$$.

Write down $$$1$$$ in the upper part of the table.

Now, $$$29-20 \cdot 1 = 29 - 20= 9$$$.

Bring down the next digit of the dividend.

$$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}0&\color{Green}{1}&\phantom{4}&\phantom{5}&\phantom{.}&\phantom{0}\end{array}&\\\color{Magenta}{20}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}2&9& 0 \downarrow&0&.&0\end{array}}&\\&\begin{array}{lllll}-&\phantom{9}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}\color{Green}{2}&\color{Green}{9}&\phantom{.}\\-&\phantom{9}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}2&0&\phantom{.}\\\hline\phantom{lll}&9&0&\phantom{.}\end{array}&\begin{array}{c}\end{array}\end{array}$$$

Step 3

How many $$$20$$$'s are in $$$90$$$?

The answer is $$$4$$$.

Write down $$$4$$$ in the upper part of the table.

Now, $$$90-20 \cdot 4 = 90 - 80= 10$$$.

Bring down the next digit of the dividend.

$$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}0&1&\color{Purple}{4}&\phantom{5}&\phantom{.}&\phantom{0}\end{array}&\\\color{Magenta}{20}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}2&9&0& 0 \downarrow&.&0\end{array}}&\\&\begin{array}{lllll}-&\phantom{9}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}2&9&\phantom{.}\\-&\phantom{9}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}2&0&\phantom{.}\\\hline\phantom{lll}&\color{Purple}{9}&\color{Purple}{0}&\phantom{.}\\-&\phantom{9}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}\\\phantom{lll}&8&0&\phantom{.}\\\hline\phantom{lll}&1&0&0&\phantom{.}\end{array}&\begin{array}{c}\end{array}\end{array}$$$

Step 4

How many $$$20$$$'s are in $$$100$$$?

The answer is $$$5$$$.

Write down $$$5$$$ in the upper part of the table.

Now, $$$100-20 \cdot 5 = 100 - 100= 0$$$.

Bring down the next digit of the dividend.

$$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}0&1&4&\color{Violet}{5}&\phantom{.}&\phantom{0}\end{array}&\\\color{Magenta}{20}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}2&9&0&0&.& 0 \downarrow\end{array}}&\\&\begin{array}{lllll}-&\phantom{9}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}2&9&\phantom{.}\\-&\phantom{9}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}2&0&\phantom{.}\\\hline\phantom{lll}&9&0&\phantom{.}\\-&\phantom{9}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}\\\phantom{lll}&8&0&\phantom{.}\\\hline\phantom{lll}&\color{Violet}{1}&\color{Violet}{0}&\color{Violet}{0}&\phantom{.}\\-&\phantom{9}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}\\\phantom{lll}&1&0&0&\phantom{.}\\\hline\phantom{lll}&&&0&\phantom{.}&0\end{array}&\begin{array}{c}\end{array}\end{array}$$$

Step 5

How many $$$20$$$'s are in $$$0$$$?

The answer is $$$0$$$.

Write down $$$0$$$ in the upper part of the table.

Now, $$$0-20 \cdot 0 = 0 - 0= 0$$$.

$$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}0&1&4&5&.&\color{Brown}{0}\end{array}&\\\color{Magenta}{20}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}2&9&0&0&.&0\end{array}}&\\&\begin{array}{lllll}-&\phantom{9}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}2&9&\phantom{.}\\-&\phantom{9}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}2&0&\phantom{.}\\\hline\phantom{lll}&9&0&\phantom{.}\\-&\phantom{9}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}\\\phantom{lll}&8&0&\phantom{.}\\\hline\phantom{lll}&1&0&0&\phantom{.}\\-&\phantom{9}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}\\\phantom{lll}&1&0&0&\phantom{.}\\\hline\phantom{lll}&&&\color{Brown}{0}&\phantom{.}&\color{Brown}{0}\\&&-&\phantom{0}&\phantom{.}&\phantom{0}\\\phantom{lll}&&&&\phantom{.}&0\\\hline\phantom{lll}&&&&&0\end{array}&\begin{array}{c}\end{array}\end{array}$$$

Since the remainder is $$$0$$$, then we are done.

Therefore, $$$\frac{2900}{20}=145.0$$$

Answer: $$$\frac{2900}{20}=145.0$$$