Evaluate
192
Factor
2^{6}\times 3
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\begin{array}{l}\phantom{250)}\phantom{1}\\250\overline{)48000}\\\end{array}
Use the 1^{st} digit 4 from dividend 48000
\begin{array}{l}\phantom{250)}0\phantom{2}\\250\overline{)48000}\\\end{array}
Since 4 is less than 250, use the next digit 8 from dividend 48000 and add 0 to the quotient
\begin{array}{l}\phantom{250)}0\phantom{3}\\250\overline{)48000}\\\end{array}
Use the 2^{nd} digit 8 from dividend 48000
\begin{array}{l}\phantom{250)}00\phantom{4}\\250\overline{)48000}\\\end{array}
Since 48 is less than 250, use the next digit 0 from dividend 48000 and add 0 to the quotient
\begin{array}{l}\phantom{250)}00\phantom{5}\\250\overline{)48000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 48000
\begin{array}{l}\phantom{250)}001\phantom{6}\\250\overline{)48000}\\\phantom{250)}\underline{\phantom{}250\phantom{99}}\\\phantom{250)}230\\\end{array}
Find closest multiple of 250 to 480. We see that 1 \times 250 = 250 is the nearest. Now subtract 250 from 480 to get reminder 230. Add 1 to quotient.
\begin{array}{l}\phantom{250)}001\phantom{7}\\250\overline{)48000}\\\phantom{250)}\underline{\phantom{}250\phantom{99}}\\\phantom{250)}2300\\\end{array}
Use the 4^{th} digit 0 from dividend 48000
\begin{array}{l}\phantom{250)}0019\phantom{8}\\250\overline{)48000}\\\phantom{250)}\underline{\phantom{}250\phantom{99}}\\\phantom{250)}2300\\\phantom{250)}\underline{\phantom{}2250\phantom{9}}\\\phantom{250)99}50\\\end{array}
Find closest multiple of 250 to 2300. We see that 9 \times 250 = 2250 is the nearest. Now subtract 2250 from 2300 to get reminder 50. Add 9 to quotient.
\begin{array}{l}\phantom{250)}0019\phantom{9}\\250\overline{)48000}\\\phantom{250)}\underline{\phantom{}250\phantom{99}}\\\phantom{250)}2300\\\phantom{250)}\underline{\phantom{}2250\phantom{9}}\\\phantom{250)99}500\\\end{array}
Use the 5^{th} digit 0 from dividend 48000
\begin{array}{l}\phantom{250)}00192\phantom{10}\\250\overline{)48000}\\\phantom{250)}\underline{\phantom{}250\phantom{99}}\\\phantom{250)}2300\\\phantom{250)}\underline{\phantom{}2250\phantom{9}}\\\phantom{250)99}500\\\phantom{250)}\underline{\phantom{99}500\phantom{}}\\\phantom{250)99999}0\\\end{array}
Find closest multiple of 250 to 500. We see that 2 \times 250 = 500 is the nearest. Now subtract 500 from 500 to get reminder 0. Add 2 to quotient.
\text{Quotient: }192 \text{Reminder: }0
Since 0 is less than 250, stop the division. The reminder is 0. The topmost line 00192 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 192.
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}