Evaluate
126
Factor
2\times 3^{2}\times 7
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)6300}\\\end{array}
Use the 1^{st} digit 6 from dividend 6300
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)6300}\\\end{array}
Since 6 is less than 50, use the next digit 3 from dividend 6300 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)6300}\\\end{array}
Use the 2^{nd} digit 3 from dividend 6300
\begin{array}{l}\phantom{50)}01\phantom{4}\\50\overline{)6300}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)}13\\\end{array}
Find closest multiple of 50 to 63. We see that 1 \times 50 = 50 is the nearest. Now subtract 50 from 63 to get reminder 13. Add 1 to quotient.
\begin{array}{l}\phantom{50)}01\phantom{5}\\50\overline{)6300}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)}130\\\end{array}
Use the 3^{rd} digit 0 from dividend 6300
\begin{array}{l}\phantom{50)}012\phantom{6}\\50\overline{)6300}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)}130\\\phantom{50)}\underline{\phantom{}100\phantom{9}}\\\phantom{50)9}30\\\end{array}
Find closest multiple of 50 to 130. We see that 2 \times 50 = 100 is the nearest. Now subtract 100 from 130 to get reminder 30. Add 2 to quotient.
\begin{array}{l}\phantom{50)}012\phantom{7}\\50\overline{)6300}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)}130\\\phantom{50)}\underline{\phantom{}100\phantom{9}}\\\phantom{50)9}300\\\end{array}
Use the 4^{th} digit 0 from dividend 6300
\begin{array}{l}\phantom{50)}0126\phantom{8}\\50\overline{)6300}\\\phantom{50)}\underline{\phantom{}50\phantom{99}}\\\phantom{50)}130\\\phantom{50)}\underline{\phantom{}100\phantom{9}}\\\phantom{50)9}300\\\phantom{50)}\underline{\phantom{9}300\phantom{}}\\\phantom{50)9999}0\\\end{array}
Find closest multiple of 50 to 300. We see that 6 \times 50 = 300 is the nearest. Now subtract 300 from 300 to get reminder 0. Add 6 to quotient.
\text{Quotient: }126 \text{Reminder: }0
Since 0 is less than 50, stop the division. The reminder is 0. The topmost line 0126 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 126.
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}