Evaluate
49
Factor
7^{2}
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\begin{array}{l}\phantom{480)}\phantom{1}\\480\overline{)23520}\\\end{array}
Use the 1^{st} digit 2 from dividend 23520
\begin{array}{l}\phantom{480)}0\phantom{2}\\480\overline{)23520}\\\end{array}
Since 2 is less than 480, use the next digit 3 from dividend 23520 and add 0 to the quotient
\begin{array}{l}\phantom{480)}0\phantom{3}\\480\overline{)23520}\\\end{array}
Use the 2^{nd} digit 3 from dividend 23520
\begin{array}{l}\phantom{480)}00\phantom{4}\\480\overline{)23520}\\\end{array}
Since 23 is less than 480, use the next digit 5 from dividend 23520 and add 0 to the quotient
\begin{array}{l}\phantom{480)}00\phantom{5}\\480\overline{)23520}\\\end{array}
Use the 3^{rd} digit 5 from dividend 23520
\begin{array}{l}\phantom{480)}000\phantom{6}\\480\overline{)23520}\\\end{array}
Since 235 is less than 480, use the next digit 2 from dividend 23520 and add 0 to the quotient
\begin{array}{l}\phantom{480)}000\phantom{7}\\480\overline{)23520}\\\end{array}
Use the 4^{th} digit 2 from dividend 23520
\begin{array}{l}\phantom{480)}0004\phantom{8}\\480\overline{)23520}\\\phantom{480)}\underline{\phantom{}1920\phantom{9}}\\\phantom{480)9}432\\\end{array}
Find closest multiple of 480 to 2352. We see that 4 \times 480 = 1920 is the nearest. Now subtract 1920 from 2352 to get reminder 432. Add 4 to quotient.
\begin{array}{l}\phantom{480)}0004\phantom{9}\\480\overline{)23520}\\\phantom{480)}\underline{\phantom{}1920\phantom{9}}\\\phantom{480)9}4320\\\end{array}
Use the 5^{th} digit 0 from dividend 23520
\begin{array}{l}\phantom{480)}00049\phantom{10}\\480\overline{)23520}\\\phantom{480)}\underline{\phantom{}1920\phantom{9}}\\\phantom{480)9}4320\\\phantom{480)}\underline{\phantom{9}4320\phantom{}}\\\phantom{480)99999}0\\\end{array}
Find closest multiple of 480 to 4320. We see that 9 \times 480 = 4320 is the nearest. Now subtract 4320 from 4320 to get reminder 0. Add 9 to quotient.
\text{Quotient: }49 \text{Reminder: }0
Since 0 is less than 480, stop the division. The reminder is 0. The topmost line 00049 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 49.
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}