Evaluate
272
Factor
2^{4}\times 17
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\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)8160}\\\end{array}
Use the 1^{st} digit 8 from dividend 8160
\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)8160}\\\end{array}
Since 8 is less than 30, use the next digit 1 from dividend 8160 and add 0 to the quotient
\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)8160}\\\end{array}
Use the 2^{nd} digit 1 from dividend 8160
\begin{array}{l}\phantom{30)}02\phantom{4}\\30\overline{)8160}\\\phantom{30)}\underline{\phantom{}60\phantom{99}}\\\phantom{30)}21\\\end{array}
Find closest multiple of 30 to 81. We see that 2 \times 30 = 60 is the nearest. Now subtract 60 from 81 to get reminder 21. Add 2 to quotient.
\begin{array}{l}\phantom{30)}02\phantom{5}\\30\overline{)8160}\\\phantom{30)}\underline{\phantom{}60\phantom{99}}\\\phantom{30)}216\\\end{array}
Use the 3^{rd} digit 6 from dividend 8160
\begin{array}{l}\phantom{30)}027\phantom{6}\\30\overline{)8160}\\\phantom{30)}\underline{\phantom{}60\phantom{99}}\\\phantom{30)}216\\\phantom{30)}\underline{\phantom{}210\phantom{9}}\\\phantom{30)99}6\\\end{array}
Find closest multiple of 30 to 216. We see that 7 \times 30 = 210 is the nearest. Now subtract 210 from 216 to get reminder 6. Add 7 to quotient.
\begin{array}{l}\phantom{30)}027\phantom{7}\\30\overline{)8160}\\\phantom{30)}\underline{\phantom{}60\phantom{99}}\\\phantom{30)}216\\\phantom{30)}\underline{\phantom{}210\phantom{9}}\\\phantom{30)99}60\\\end{array}
Use the 4^{th} digit 0 from dividend 8160
\begin{array}{l}\phantom{30)}0272\phantom{8}\\30\overline{)8160}\\\phantom{30)}\underline{\phantom{}60\phantom{99}}\\\phantom{30)}216\\\phantom{30)}\underline{\phantom{}210\phantom{9}}\\\phantom{30)99}60\\\phantom{30)}\underline{\phantom{99}60\phantom{}}\\\phantom{30)9999}0\\\end{array}
Find closest multiple of 30 to 60. We see that 2 \times 30 = 60 is the nearest. Now subtract 60 from 60 to get reminder 0. Add 2 to quotient.
\text{Quotient: }272 \text{Reminder: }0
Since 0 is less than 30, stop the division. The reminder is 0. The topmost line 0272 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 272.
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}