Evaluate
\frac{750}{53}\approx 14.150943396
Factor
\frac{2 \cdot 3 \cdot 5 ^ {3}}{53} = 14\frac{8}{53} = 14.150943396226415
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\begin{array}{l}\phantom{106)}\phantom{1}\\106\overline{)1500}\\\end{array}
Use the 1^{st} digit 1 from dividend 1500
\begin{array}{l}\phantom{106)}0\phantom{2}\\106\overline{)1500}\\\end{array}
Since 1 is less than 106, use the next digit 5 from dividend 1500 and add 0 to the quotient
\begin{array}{l}\phantom{106)}0\phantom{3}\\106\overline{)1500}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1500
\begin{array}{l}\phantom{106)}00\phantom{4}\\106\overline{)1500}\\\end{array}
Since 15 is less than 106, use the next digit 0 from dividend 1500 and add 0 to the quotient
\begin{array}{l}\phantom{106)}00\phantom{5}\\106\overline{)1500}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1500
\begin{array}{l}\phantom{106)}001\phantom{6}\\106\overline{)1500}\\\phantom{106)}\underline{\phantom{}106\phantom{9}}\\\phantom{106)9}44\\\end{array}
Find closest multiple of 106 to 150. We see that 1 \times 106 = 106 is the nearest. Now subtract 106 from 150 to get reminder 44. Add 1 to quotient.
\begin{array}{l}\phantom{106)}001\phantom{7}\\106\overline{)1500}\\\phantom{106)}\underline{\phantom{}106\phantom{9}}\\\phantom{106)9}440\\\end{array}
Use the 4^{th} digit 0 from dividend 1500
\begin{array}{l}\phantom{106)}0014\phantom{8}\\106\overline{)1500}\\\phantom{106)}\underline{\phantom{}106\phantom{9}}\\\phantom{106)9}440\\\phantom{106)}\underline{\phantom{9}424\phantom{}}\\\phantom{106)99}16\\\end{array}
Find closest multiple of 106 to 440. We see that 4 \times 106 = 424 is the nearest. Now subtract 424 from 440 to get reminder 16. Add 4 to quotient.
\text{Quotient: }14 \text{Reminder: }16
Since 16 is less than 106, stop the division. The reminder is 16. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.
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}