Evaluate
314
Factor
2\times 157
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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)4710}\\\end{array}
Use the 1^{st} digit 4 from dividend 4710
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)4710}\\\end{array}
Since 4 is less than 15, use the next digit 7 from dividend 4710 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)4710}\\\end{array}
Use the 2^{nd} digit 7 from dividend 4710
\begin{array}{l}\phantom{15)}03\phantom{4}\\15\overline{)4710}\\\phantom{15)}\underline{\phantom{}45\phantom{99}}\\\phantom{15)9}2\\\end{array}
Find closest multiple of 15 to 47. We see that 3 \times 15 = 45 is the nearest. Now subtract 45 from 47 to get reminder 2. Add 3 to quotient.
\begin{array}{l}\phantom{15)}03\phantom{5}\\15\overline{)4710}\\\phantom{15)}\underline{\phantom{}45\phantom{99}}\\\phantom{15)9}21\\\end{array}
Use the 3^{rd} digit 1 from dividend 4710
\begin{array}{l}\phantom{15)}031\phantom{6}\\15\overline{)4710}\\\phantom{15)}\underline{\phantom{}45\phantom{99}}\\\phantom{15)9}21\\\phantom{15)}\underline{\phantom{9}15\phantom{9}}\\\phantom{15)99}6\\\end{array}
Find closest multiple of 15 to 21. We see that 1 \times 15 = 15 is the nearest. Now subtract 15 from 21 to get reminder 6. Add 1 to quotient.
\begin{array}{l}\phantom{15)}031\phantom{7}\\15\overline{)4710}\\\phantom{15)}\underline{\phantom{}45\phantom{99}}\\\phantom{15)9}21\\\phantom{15)}\underline{\phantom{9}15\phantom{9}}\\\phantom{15)99}60\\\end{array}
Use the 4^{th} digit 0 from dividend 4710
\begin{array}{l}\phantom{15)}0314\phantom{8}\\15\overline{)4710}\\\phantom{15)}\underline{\phantom{}45\phantom{99}}\\\phantom{15)9}21\\\phantom{15)}\underline{\phantom{9}15\phantom{9}}\\\phantom{15)99}60\\\phantom{15)}\underline{\phantom{99}60\phantom{}}\\\phantom{15)9999}0\\\end{array}
Find closest multiple of 15 to 60. We see that 4 \times 15 = 60 is the nearest. Now subtract 60 from 60 to get reminder 0. Add 4 to quotient.
\text{Quotient: }314 \text{Reminder: }0
Since 0 is less than 15, stop the division. The reminder is 0. The topmost line 0314 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 314.
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}