Evaluate
\frac{1200}{7}\approx 171.428571429
Factor
\frac{2 ^ {4} \cdot 3 \cdot 5 ^ {2}}{7} = 171\frac{3}{7} = 171.42857142857142
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\begin{array}{l}\phantom{140)}\phantom{1}\\140\overline{)24000}\\\end{array}
Use the 1^{st} digit 2 from dividend 24000
\begin{array}{l}\phantom{140)}0\phantom{2}\\140\overline{)24000}\\\end{array}
Since 2 is less than 140, use the next digit 4 from dividend 24000 and add 0 to the quotient
\begin{array}{l}\phantom{140)}0\phantom{3}\\140\overline{)24000}\\\end{array}
Use the 2^{nd} digit 4 from dividend 24000
\begin{array}{l}\phantom{140)}00\phantom{4}\\140\overline{)24000}\\\end{array}
Since 24 is less than 140, use the next digit 0 from dividend 24000 and add 0 to the quotient
\begin{array}{l}\phantom{140)}00\phantom{5}\\140\overline{)24000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 24000
\begin{array}{l}\phantom{140)}001\phantom{6}\\140\overline{)24000}\\\phantom{140)}\underline{\phantom{}140\phantom{99}}\\\phantom{140)}100\\\end{array}
Find closest multiple of 140 to 240. We see that 1 \times 140 = 140 is the nearest. Now subtract 140 from 240 to get reminder 100. Add 1 to quotient.
\begin{array}{l}\phantom{140)}001\phantom{7}\\140\overline{)24000}\\\phantom{140)}\underline{\phantom{}140\phantom{99}}\\\phantom{140)}1000\\\end{array}
Use the 4^{th} digit 0 from dividend 24000
\begin{array}{l}\phantom{140)}0017\phantom{8}\\140\overline{)24000}\\\phantom{140)}\underline{\phantom{}140\phantom{99}}\\\phantom{140)}1000\\\phantom{140)}\underline{\phantom{9}980\phantom{9}}\\\phantom{140)99}20\\\end{array}
Find closest multiple of 140 to 1000. We see that 7 \times 140 = 980 is the nearest. Now subtract 980 from 1000 to get reminder 20. Add 7 to quotient.
\begin{array}{l}\phantom{140)}0017\phantom{9}\\140\overline{)24000}\\\phantom{140)}\underline{\phantom{}140\phantom{99}}\\\phantom{140)}1000\\\phantom{140)}\underline{\phantom{9}980\phantom{9}}\\\phantom{140)99}200\\\end{array}
Use the 5^{th} digit 0 from dividend 24000
\begin{array}{l}\phantom{140)}00171\phantom{10}\\140\overline{)24000}\\\phantom{140)}\underline{\phantom{}140\phantom{99}}\\\phantom{140)}1000\\\phantom{140)}\underline{\phantom{9}980\phantom{9}}\\\phantom{140)99}200\\\phantom{140)}\underline{\phantom{99}140\phantom{}}\\\phantom{140)999}60\\\end{array}
Find closest multiple of 140 to 200. We see that 1 \times 140 = 140 is the nearest. Now subtract 140 from 200 to get reminder 60. Add 1 to quotient.
\text{Quotient: }171 \text{Reminder: }60
Since 60 is less than 140, stop the division. The reminder is 60. The topmost line 00171 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 171.
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}