Evaluate
5209
Factor
5209
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\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)250032}\\\end{array}
Use the 1^{st} digit 2 from dividend 250032
\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)250032}\\\end{array}
Since 2 is less than 48, use the next digit 5 from dividend 250032 and add 0 to the quotient
\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)250032}\\\end{array}
Use the 2^{nd} digit 5 from dividend 250032
\begin{array}{l}\phantom{48)}00\phantom{4}\\48\overline{)250032}\\\end{array}
Since 25 is less than 48, use the next digit 0 from dividend 250032 and add 0 to the quotient
\begin{array}{l}\phantom{48)}00\phantom{5}\\48\overline{)250032}\\\end{array}
Use the 3^{rd} digit 0 from dividend 250032
\begin{array}{l}\phantom{48)}005\phantom{6}\\48\overline{)250032}\\\phantom{48)}\underline{\phantom{}240\phantom{999}}\\\phantom{48)9}10\\\end{array}
Find closest multiple of 48 to 250. We see that 5 \times 48 = 240 is the nearest. Now subtract 240 from 250 to get reminder 10. Add 5 to quotient.
\begin{array}{l}\phantom{48)}005\phantom{7}\\48\overline{)250032}\\\phantom{48)}\underline{\phantom{}240\phantom{999}}\\\phantom{48)9}100\\\end{array}
Use the 4^{th} digit 0 from dividend 250032
\begin{array}{l}\phantom{48)}0052\phantom{8}\\48\overline{)250032}\\\phantom{48)}\underline{\phantom{}240\phantom{999}}\\\phantom{48)9}100\\\phantom{48)}\underline{\phantom{99}96\phantom{99}}\\\phantom{48)999}4\\\end{array}
Find closest multiple of 48 to 100. We see that 2 \times 48 = 96 is the nearest. Now subtract 96 from 100 to get reminder 4. Add 2 to quotient.
\begin{array}{l}\phantom{48)}0052\phantom{9}\\48\overline{)250032}\\\phantom{48)}\underline{\phantom{}240\phantom{999}}\\\phantom{48)9}100\\\phantom{48)}\underline{\phantom{99}96\phantom{99}}\\\phantom{48)999}43\\\end{array}
Use the 5^{th} digit 3 from dividend 250032
\begin{array}{l}\phantom{48)}00520\phantom{10}\\48\overline{)250032}\\\phantom{48)}\underline{\phantom{}240\phantom{999}}\\\phantom{48)9}100\\\phantom{48)}\underline{\phantom{99}96\phantom{99}}\\\phantom{48)999}43\\\end{array}
Since 43 is less than 48, use the next digit 2 from dividend 250032 and add 0 to the quotient
\begin{array}{l}\phantom{48)}00520\phantom{11}\\48\overline{)250032}\\\phantom{48)}\underline{\phantom{}240\phantom{999}}\\\phantom{48)9}100\\\phantom{48)}\underline{\phantom{99}96\phantom{99}}\\\phantom{48)999}432\\\end{array}
Use the 6^{th} digit 2 from dividend 250032
\begin{array}{l}\phantom{48)}005209\phantom{12}\\48\overline{)250032}\\\phantom{48)}\underline{\phantom{}240\phantom{999}}\\\phantom{48)9}100\\\phantom{48)}\underline{\phantom{99}96\phantom{99}}\\\phantom{48)999}432\\\phantom{48)}\underline{\phantom{999}432\phantom{}}\\\phantom{48)999999}0\\\end{array}
Find closest multiple of 48 to 432. We see that 9 \times 48 = 432 is the nearest. Now subtract 432 from 432 to get reminder 0. Add 9 to quotient.
\text{Quotient: }5209 \text{Reminder: }0
Since 0 is less than 48, stop the division. The reminder is 0. The topmost line 005209 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5209.
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}