Evaluate
493
Factor
17\times 29
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\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)7888}\\\end{array}
Use the 1^{st} digit 7 from dividend 7888
\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)7888}\\\end{array}
Since 7 is less than 16, use the next digit 8 from dividend 7888 and add 0 to the quotient
\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)7888}\\\end{array}
Use the 2^{nd} digit 8 from dividend 7888
\begin{array}{l}\phantom{16)}04\phantom{4}\\16\overline{)7888}\\\phantom{16)}\underline{\phantom{}64\phantom{99}}\\\phantom{16)}14\\\end{array}
Find closest multiple of 16 to 78. We see that 4 \times 16 = 64 is the nearest. Now subtract 64 from 78 to get reminder 14. Add 4 to quotient.
\begin{array}{l}\phantom{16)}04\phantom{5}\\16\overline{)7888}\\\phantom{16)}\underline{\phantom{}64\phantom{99}}\\\phantom{16)}148\\\end{array}
Use the 3^{rd} digit 8 from dividend 7888
\begin{array}{l}\phantom{16)}049\phantom{6}\\16\overline{)7888}\\\phantom{16)}\underline{\phantom{}64\phantom{99}}\\\phantom{16)}148\\\phantom{16)}\underline{\phantom{}144\phantom{9}}\\\phantom{16)99}4\\\end{array}
Find closest multiple of 16 to 148. We see that 9 \times 16 = 144 is the nearest. Now subtract 144 from 148 to get reminder 4. Add 9 to quotient.
\begin{array}{l}\phantom{16)}049\phantom{7}\\16\overline{)7888}\\\phantom{16)}\underline{\phantom{}64\phantom{99}}\\\phantom{16)}148\\\phantom{16)}\underline{\phantom{}144\phantom{9}}\\\phantom{16)99}48\\\end{array}
Use the 4^{th} digit 8 from dividend 7888
\begin{array}{l}\phantom{16)}0493\phantom{8}\\16\overline{)7888}\\\phantom{16)}\underline{\phantom{}64\phantom{99}}\\\phantom{16)}148\\\phantom{16)}\underline{\phantom{}144\phantom{9}}\\\phantom{16)99}48\\\phantom{16)}\underline{\phantom{99}48\phantom{}}\\\phantom{16)9999}0\\\end{array}
Find closest multiple of 16 to 48. We see that 3 \times 16 = 48 is the nearest. Now subtract 48 from 48 to get reminder 0. Add 3 to quotient.
\text{Quotient: }493 \text{Reminder: }0
Since 0 is less than 16, stop the division. The reminder is 0. The topmost line 0493 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 493.
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}