Evaluate
95
Factor
5\times 19
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\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)1520}\\\end{array}
Use the 1^{st} digit 1 from dividend 1520
\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)1520}\\\end{array}
Since 1 is less than 16, use the next digit 5 from dividend 1520 and add 0 to the quotient
\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)1520}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1520
\begin{array}{l}\phantom{16)}00\phantom{4}\\16\overline{)1520}\\\end{array}
Since 15 is less than 16, use the next digit 2 from dividend 1520 and add 0 to the quotient
\begin{array}{l}\phantom{16)}00\phantom{5}\\16\overline{)1520}\\\end{array}
Use the 3^{rd} digit 2 from dividend 1520
\begin{array}{l}\phantom{16)}009\phantom{6}\\16\overline{)1520}\\\phantom{16)}\underline{\phantom{}144\phantom{9}}\\\phantom{16)99}8\\\end{array}
Find closest multiple of 16 to 152. We see that 9 \times 16 = 144 is the nearest. Now subtract 144 from 152 to get reminder 8. Add 9 to quotient.
\begin{array}{l}\phantom{16)}009\phantom{7}\\16\overline{)1520}\\\phantom{16)}\underline{\phantom{}144\phantom{9}}\\\phantom{16)99}80\\\end{array}
Use the 4^{th} digit 0 from dividend 1520
\begin{array}{l}\phantom{16)}0095\phantom{8}\\16\overline{)1520}\\\phantom{16)}\underline{\phantom{}144\phantom{9}}\\\phantom{16)99}80\\\phantom{16)}\underline{\phantom{99}80\phantom{}}\\\phantom{16)9999}0\\\end{array}
Find closest multiple of 16 to 80. We see that 5 \times 16 = 80 is the nearest. Now subtract 80 from 80 to get reminder 0. Add 5 to quotient.
\text{Quotient: }95 \text{Reminder: }0
Since 0 is less than 16, stop the division. The reminder is 0. The topmost line 0095 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 95.
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}