Evaluate
\frac{112}{15}\approx 7.466666667
Factor
\frac{2 ^ {4} \cdot 7}{3 \cdot 5} = 7\frac{7}{15} = 7.466666666666667
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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)112}\\\end{array}
Use the 1^{st} digit 1 from dividend 112
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)112}\\\end{array}
Since 1 is less than 15, use the next digit 1 from dividend 112 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)112}\\\end{array}
Use the 2^{nd} digit 1 from dividend 112
\begin{array}{l}\phantom{15)}00\phantom{4}\\15\overline{)112}\\\end{array}
Since 11 is less than 15, use the next digit 2 from dividend 112 and add 0 to the quotient
\begin{array}{l}\phantom{15)}00\phantom{5}\\15\overline{)112}\\\end{array}
Use the 3^{rd} digit 2 from dividend 112
\begin{array}{l}\phantom{15)}007\phantom{6}\\15\overline{)112}\\\phantom{15)}\underline{\phantom{}105\phantom{}}\\\phantom{15)99}7\\\end{array}
Find closest multiple of 15 to 112. We see that 7 \times 15 = 105 is the nearest. Now subtract 105 from 112 to get reminder 7. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }7
Since 7 is less than 15, stop the division. The reminder is 7. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}