Answer:
1. 2900
2. 35
Step-by-step explanation:
1. [tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:100[/tex] [tex]\frac{5800}{2}[/tex]
[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]
[tex]\begin{matrix}2\overline{|\smallspace5800}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
[tex]\mathrm{Divide}\:5\:\mathrm{by}\:2\:\mathrm{to\:get}\:2[/tex]
[tex]\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 2\overline{|\smallspace5800}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
[tex]\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:2[/tex]
[tex]\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 2\overline{|\smallspace5800}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace4}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
[tex]\mathrm{Subtract}\:4\:\mathrm{from}\:5[/tex]
[tex]\mathrm{Bring\:down\:the\:next\:number\:of\:the\:dividend}[/tex]
[tex]\mathrm{Divide}\:18\:\mathrm{by}\:2\:\mathrm{to\:get}\:9[/tex]
[tex]\mathrm{Multiply\:the\:quotient\:digit}\:\left(9\right)\:\mathrm{by\:the\:divisor}\:2[/tex]
[tex]\mathrm{Subtract}\:18\:\mathrm{from}\:18[/tex]
[tex]\mathrm{Bring\:down\:the\:next\:number\:of\:the\:dividend}[/tex]
[tex]\mathrm{Divide}\:0\:\mathrm{by}\:2\:\mathrm{to\:get}\:0[/tex][tex]\mathrm{Multiply\:the\:quotient\:digit}\:\left(0\right)\:\mathrm{by\:the\:divisor}\:2[/tex][tex]\mathrm{Subtract}\:0\:\mathrm{from}\:0[/tex]
[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{58}{0.02}\:\mathrm{is}\:2900[/tex]
2. [tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:100[/tex]
[tex]\frac{175}{5}[/tex]
[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]
[tex]\begin{matrix}5\overline{|\smallspace175}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
[tex]\mathrm{Divide}\:17\:\mathrm{by}\:5\:\mathrm{to\:get}\:3[/tex]
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace175}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
[tex]\mathrm{Multiply\:the\:quotient\:digit}\:\left(3\right)\:\mathrm{by\:the\:divisor}\:5[/tex]
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace175}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace5}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
[tex]\mathrm{Subtract}\:15\:\mathrm{from}\:17[/tex]
[tex]\mathrm{Bring\:down\:the\:next\:number\:of\:the\:dividend}[/tex]
[tex]\mathrm{Divide}\:25\:\mathrm{by}\:5\:\mathrm{to\:get}\:5[/tex]
[tex]\mathrm{Multiply\:the\:quotient\:digit}\:\left(5\right)\:\mathrm{by\:the\:divisor}\:5[/tex]
[tex]\mathrm{Subtract}\:25\:\mathrm{from}\:25[/tex]
[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{1.75}{0.05}\:\mathrm{is}\:35[/tex]
so the answer is [tex]35[/tex]
