Evaluate
62
Factor
2\times 31
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\begin{array}{l}\phantom{182)}\phantom{1}\\182\overline{)11284}\\\end{array}
Use the 1^{st} digit 1 from dividend 11284
\begin{array}{l}\phantom{182)}0\phantom{2}\\182\overline{)11284}\\\end{array}
Since 1 is less than 182, use the next digit 1 from dividend 11284 and add 0 to the quotient
\begin{array}{l}\phantom{182)}0\phantom{3}\\182\overline{)11284}\\\end{array}
Use the 2^{nd} digit 1 from dividend 11284
\begin{array}{l}\phantom{182)}00\phantom{4}\\182\overline{)11284}\\\end{array}
Since 11 is less than 182, use the next digit 2 from dividend 11284 and add 0 to the quotient
\begin{array}{l}\phantom{182)}00\phantom{5}\\182\overline{)11284}\\\end{array}
Use the 3^{rd} digit 2 from dividend 11284
\begin{array}{l}\phantom{182)}000\phantom{6}\\182\overline{)11284}\\\end{array}
Since 112 is less than 182, use the next digit 8 from dividend 11284 and add 0 to the quotient
\begin{array}{l}\phantom{182)}000\phantom{7}\\182\overline{)11284}\\\end{array}
Use the 4^{th} digit 8 from dividend 11284
\begin{array}{l}\phantom{182)}0006\phantom{8}\\182\overline{)11284}\\\phantom{182)}\underline{\phantom{}1092\phantom{9}}\\\phantom{182)99}36\\\end{array}
Find closest multiple of 182 to 1128. We see that 6 \times 182 = 1092 is the nearest. Now subtract 1092 from 1128 to get reminder 36. Add 6 to quotient.
\begin{array}{l}\phantom{182)}0006\phantom{9}\\182\overline{)11284}\\\phantom{182)}\underline{\phantom{}1092\phantom{9}}\\\phantom{182)99}364\\\end{array}
Use the 5^{th} digit 4 from dividend 11284
\begin{array}{l}\phantom{182)}00062\phantom{10}\\182\overline{)11284}\\\phantom{182)}\underline{\phantom{}1092\phantom{9}}\\\phantom{182)99}364\\\phantom{182)}\underline{\phantom{99}364\phantom{}}\\\phantom{182)99999}0\\\end{array}
Find closest multiple of 182 to 364. We see that 2 \times 182 = 364 is the nearest. Now subtract 364 from 364 to get reminder 0. Add 2 to quotient.
\text{Quotient: }62 \text{Reminder: }0
Since 0 is less than 182, stop the division. The reminder is 0. The topmost line 00062 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 62.
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}