Evaluate
592
Factor
2^{4}\times 37
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\begin{array}{l}\phantom{80)}\phantom{1}\\80\overline{)47360}\\\end{array}
Use the 1^{st} digit 4 from dividend 47360
\begin{array}{l}\phantom{80)}0\phantom{2}\\80\overline{)47360}\\\end{array}
Since 4 is less than 80, use the next digit 7 from dividend 47360 and add 0 to the quotient
\begin{array}{l}\phantom{80)}0\phantom{3}\\80\overline{)47360}\\\end{array}
Use the 2^{nd} digit 7 from dividend 47360
\begin{array}{l}\phantom{80)}00\phantom{4}\\80\overline{)47360}\\\end{array}
Since 47 is less than 80, use the next digit 3 from dividend 47360 and add 0 to the quotient
\begin{array}{l}\phantom{80)}00\phantom{5}\\80\overline{)47360}\\\end{array}
Use the 3^{rd} digit 3 from dividend 47360
\begin{array}{l}\phantom{80)}005\phantom{6}\\80\overline{)47360}\\\phantom{80)}\underline{\phantom{}400\phantom{99}}\\\phantom{80)9}73\\\end{array}
Find closest multiple of 80 to 473. We see that 5 \times 80 = 400 is the nearest. Now subtract 400 from 473 to get reminder 73. Add 5 to quotient.
\begin{array}{l}\phantom{80)}005\phantom{7}\\80\overline{)47360}\\\phantom{80)}\underline{\phantom{}400\phantom{99}}\\\phantom{80)9}736\\\end{array}
Use the 4^{th} digit 6 from dividend 47360
\begin{array}{l}\phantom{80)}0059\phantom{8}\\80\overline{)47360}\\\phantom{80)}\underline{\phantom{}400\phantom{99}}\\\phantom{80)9}736\\\phantom{80)}\underline{\phantom{9}720\phantom{9}}\\\phantom{80)99}16\\\end{array}
Find closest multiple of 80 to 736. We see that 9 \times 80 = 720 is the nearest. Now subtract 720 from 736 to get reminder 16. Add 9 to quotient.
\begin{array}{l}\phantom{80)}0059\phantom{9}\\80\overline{)47360}\\\phantom{80)}\underline{\phantom{}400\phantom{99}}\\\phantom{80)9}736\\\phantom{80)}\underline{\phantom{9}720\phantom{9}}\\\phantom{80)99}160\\\end{array}
Use the 5^{th} digit 0 from dividend 47360
\begin{array}{l}\phantom{80)}00592\phantom{10}\\80\overline{)47360}\\\phantom{80)}\underline{\phantom{}400\phantom{99}}\\\phantom{80)9}736\\\phantom{80)}\underline{\phantom{9}720\phantom{9}}\\\phantom{80)99}160\\\phantom{80)}\underline{\phantom{99}160\phantom{}}\\\phantom{80)99999}0\\\end{array}
Find closest multiple of 80 to 160. We see that 2 \times 80 = 160 is the nearest. Now subtract 160 from 160 to get reminder 0. Add 2 to quotient.
\text{Quotient: }592 \text{Reminder: }0
Since 0 is less than 80, stop the division. The reminder is 0. The topmost line 00592 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 592.
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}