Evaluate
764
Factor
2^{2}\times 191
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\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)36672}\\\end{array}
Use the 1^{st} digit 3 from dividend 36672
\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)36672}\\\end{array}
Since 3 is less than 48, use the next digit 6 from dividend 36672 and add 0 to the quotient
\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)36672}\\\end{array}
Use the 2^{nd} digit 6 from dividend 36672
\begin{array}{l}\phantom{48)}00\phantom{4}\\48\overline{)36672}\\\end{array}
Since 36 is less than 48, use the next digit 6 from dividend 36672 and add 0 to the quotient
\begin{array}{l}\phantom{48)}00\phantom{5}\\48\overline{)36672}\\\end{array}
Use the 3^{rd} digit 6 from dividend 36672
\begin{array}{l}\phantom{48)}007\phantom{6}\\48\overline{)36672}\\\phantom{48)}\underline{\phantom{}336\phantom{99}}\\\phantom{48)9}30\\\end{array}
Find closest multiple of 48 to 366. We see that 7 \times 48 = 336 is the nearest. Now subtract 336 from 366 to get reminder 30. Add 7 to quotient.
\begin{array}{l}\phantom{48)}007\phantom{7}\\48\overline{)36672}\\\phantom{48)}\underline{\phantom{}336\phantom{99}}\\\phantom{48)9}307\\\end{array}
Use the 4^{th} digit 7 from dividend 36672
\begin{array}{l}\phantom{48)}0076\phantom{8}\\48\overline{)36672}\\\phantom{48)}\underline{\phantom{}336\phantom{99}}\\\phantom{48)9}307\\\phantom{48)}\underline{\phantom{9}288\phantom{9}}\\\phantom{48)99}19\\\end{array}
Find closest multiple of 48 to 307. We see that 6 \times 48 = 288 is the nearest. Now subtract 288 from 307 to get reminder 19. Add 6 to quotient.
\begin{array}{l}\phantom{48)}0076\phantom{9}\\48\overline{)36672}\\\phantom{48)}\underline{\phantom{}336\phantom{99}}\\\phantom{48)9}307\\\phantom{48)}\underline{\phantom{9}288\phantom{9}}\\\phantom{48)99}192\\\end{array}
Use the 5^{th} digit 2 from dividend 36672
\begin{array}{l}\phantom{48)}00764\phantom{10}\\48\overline{)36672}\\\phantom{48)}\underline{\phantom{}336\phantom{99}}\\\phantom{48)9}307\\\phantom{48)}\underline{\phantom{9}288\phantom{9}}\\\phantom{48)99}192\\\phantom{48)}\underline{\phantom{99}192\phantom{}}\\\phantom{48)99999}0\\\end{array}
Find closest multiple of 48 to 192. We see that 4 \times 48 = 192 is the nearest. Now subtract 192 from 192 to get reminder 0. Add 4 to quotient.
\text{Quotient: }764 \text{Reminder: }0
Since 0 is less than 48, stop the division. The reminder is 0. The topmost line 00764 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 764.
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}