Evaluate
296
Factor
2^{3}\times 37
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\begin{array}{l}\phantom{68)}\phantom{1}\\68\overline{)20128}\\\end{array}
Use the 1^{st} digit 2 from dividend 20128
\begin{array}{l}\phantom{68)}0\phantom{2}\\68\overline{)20128}\\\end{array}
Since 2 is less than 68, use the next digit 0 from dividend 20128 and add 0 to the quotient
\begin{array}{l}\phantom{68)}0\phantom{3}\\68\overline{)20128}\\\end{array}
Use the 2^{nd} digit 0 from dividend 20128
\begin{array}{l}\phantom{68)}00\phantom{4}\\68\overline{)20128}\\\end{array}
Since 20 is less than 68, use the next digit 1 from dividend 20128 and add 0 to the quotient
\begin{array}{l}\phantom{68)}00\phantom{5}\\68\overline{)20128}\\\end{array}
Use the 3^{rd} digit 1 from dividend 20128
\begin{array}{l}\phantom{68)}002\phantom{6}\\68\overline{)20128}\\\phantom{68)}\underline{\phantom{}136\phantom{99}}\\\phantom{68)9}65\\\end{array}
Find closest multiple of 68 to 201. We see that 2 \times 68 = 136 is the nearest. Now subtract 136 from 201 to get reminder 65. Add 2 to quotient.
\begin{array}{l}\phantom{68)}002\phantom{7}\\68\overline{)20128}\\\phantom{68)}\underline{\phantom{}136\phantom{99}}\\\phantom{68)9}652\\\end{array}
Use the 4^{th} digit 2 from dividend 20128
\begin{array}{l}\phantom{68)}0029\phantom{8}\\68\overline{)20128}\\\phantom{68)}\underline{\phantom{}136\phantom{99}}\\\phantom{68)9}652\\\phantom{68)}\underline{\phantom{9}612\phantom{9}}\\\phantom{68)99}40\\\end{array}
Find closest multiple of 68 to 652. We see that 9 \times 68 = 612 is the nearest. Now subtract 612 from 652 to get reminder 40. Add 9 to quotient.
\begin{array}{l}\phantom{68)}0029\phantom{9}\\68\overline{)20128}\\\phantom{68)}\underline{\phantom{}136\phantom{99}}\\\phantom{68)9}652\\\phantom{68)}\underline{\phantom{9}612\phantom{9}}\\\phantom{68)99}408\\\end{array}
Use the 5^{th} digit 8 from dividend 20128
\begin{array}{l}\phantom{68)}00296\phantom{10}\\68\overline{)20128}\\\phantom{68)}\underline{\phantom{}136\phantom{99}}\\\phantom{68)9}652\\\phantom{68)}\underline{\phantom{9}612\phantom{9}}\\\phantom{68)99}408\\\phantom{68)}\underline{\phantom{99}408\phantom{}}\\\phantom{68)99999}0\\\end{array}
Find closest multiple of 68 to 408. We see that 6 \times 68 = 408 is the nearest. Now subtract 408 from 408 to get reminder 0. Add 6 to quotient.
\text{Quotient: }296 \text{Reminder: }0
Since 0 is less than 68, stop the division. The reminder is 0. The topmost line 00296 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 296.
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}