Evaluate
\frac{160}{3}\approx 53.333333333
Factor
\frac{2 ^ {5} \cdot 5}{3} = 53\frac{1}{3} = 53.333333333333336
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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)800}\\\end{array}
Use the 1^{st} digit 8 from dividend 800
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)800}\\\end{array}
Since 8 is less than 15, use the next digit 0 from dividend 800 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)800}\\\end{array}
Use the 2^{nd} digit 0 from dividend 800
\begin{array}{l}\phantom{15)}05\phantom{4}\\15\overline{)800}\\\phantom{15)}\underline{\phantom{}75\phantom{9}}\\\phantom{15)9}5\\\end{array}
Find closest multiple of 15 to 80. We see that 5 \times 15 = 75 is the nearest. Now subtract 75 from 80 to get reminder 5. Add 5 to quotient.
\begin{array}{l}\phantom{15)}05\phantom{5}\\15\overline{)800}\\\phantom{15)}\underline{\phantom{}75\phantom{9}}\\\phantom{15)9}50\\\end{array}
Use the 3^{rd} digit 0 from dividend 800
\begin{array}{l}\phantom{15)}053\phantom{6}\\15\overline{)800}\\\phantom{15)}\underline{\phantom{}75\phantom{9}}\\\phantom{15)9}50\\\phantom{15)}\underline{\phantom{9}45\phantom{}}\\\phantom{15)99}5\\\end{array}
Find closest multiple of 15 to 50. We see that 3 \times 15 = 45 is the nearest. Now subtract 45 from 50 to get reminder 5. Add 3 to quotient.
\text{Quotient: }53 \text{Reminder: }5
Since 5 is less than 15, stop the division. The reminder is 5. The topmost line 053 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 53.
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}