Evaluate
\frac{125}{4}=31.25
Factor
\frac{5 ^ {3}}{2 ^ {2}} = 31\frac{1}{4} = 31.25
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\begin{array}{l}\phantom{704)}\phantom{1}\\704\overline{)22000}\\\end{array}
Use the 1^{st} digit 2 from dividend 22000
\begin{array}{l}\phantom{704)}0\phantom{2}\\704\overline{)22000}\\\end{array}
Since 2 is less than 704, use the next digit 2 from dividend 22000 and add 0 to the quotient
\begin{array}{l}\phantom{704)}0\phantom{3}\\704\overline{)22000}\\\end{array}
Use the 2^{nd} digit 2 from dividend 22000
\begin{array}{l}\phantom{704)}00\phantom{4}\\704\overline{)22000}\\\end{array}
Since 22 is less than 704, use the next digit 0 from dividend 22000 and add 0 to the quotient
\begin{array}{l}\phantom{704)}00\phantom{5}\\704\overline{)22000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 22000
\begin{array}{l}\phantom{704)}000\phantom{6}\\704\overline{)22000}\\\end{array}
Since 220 is less than 704, use the next digit 0 from dividend 22000 and add 0 to the quotient
\begin{array}{l}\phantom{704)}000\phantom{7}\\704\overline{)22000}\\\end{array}
Use the 4^{th} digit 0 from dividend 22000
\begin{array}{l}\phantom{704)}0003\phantom{8}\\704\overline{)22000}\\\phantom{704)}\underline{\phantom{}2112\phantom{9}}\\\phantom{704)99}88\\\end{array}
Find closest multiple of 704 to 2200. We see that 3 \times 704 = 2112 is the nearest. Now subtract 2112 from 2200 to get reminder 88. Add 3 to quotient.
\begin{array}{l}\phantom{704)}0003\phantom{9}\\704\overline{)22000}\\\phantom{704)}\underline{\phantom{}2112\phantom{9}}\\\phantom{704)99}880\\\end{array}
Use the 5^{th} digit 0 from dividend 22000
\begin{array}{l}\phantom{704)}00031\phantom{10}\\704\overline{)22000}\\\phantom{704)}\underline{\phantom{}2112\phantom{9}}\\\phantom{704)99}880\\\phantom{704)}\underline{\phantom{99}704\phantom{}}\\\phantom{704)99}176\\\end{array}
Find closest multiple of 704 to 880. We see that 1 \times 704 = 704 is the nearest. Now subtract 704 from 880 to get reminder 176. Add 1 to quotient.
\text{Quotient: }31 \text{Reminder: }176
Since 176 is less than 704, stop the division. The reminder is 176. The topmost line 00031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}