Evaluate
\frac{375}{4}=93.75
Factor
\frac{3 \cdot 5 ^ {3}}{2 ^ {2}} = 93\frac{3}{4} = 93.75
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\begin{array}{l}\phantom{80)}\phantom{1}\\80\overline{)7500}\\\end{array}
Use the 1^{st} digit 7 from dividend 7500
\begin{array}{l}\phantom{80)}0\phantom{2}\\80\overline{)7500}\\\end{array}
Since 7 is less than 80, use the next digit 5 from dividend 7500 and add 0 to the quotient
\begin{array}{l}\phantom{80)}0\phantom{3}\\80\overline{)7500}\\\end{array}
Use the 2^{nd} digit 5 from dividend 7500
\begin{array}{l}\phantom{80)}00\phantom{4}\\80\overline{)7500}\\\end{array}
Since 75 is less than 80, use the next digit 0 from dividend 7500 and add 0 to the quotient
\begin{array}{l}\phantom{80)}00\phantom{5}\\80\overline{)7500}\\\end{array}
Use the 3^{rd} digit 0 from dividend 7500
\begin{array}{l}\phantom{80)}009\phantom{6}\\80\overline{)7500}\\\phantom{80)}\underline{\phantom{}720\phantom{9}}\\\phantom{80)9}30\\\end{array}
Find closest multiple of 80 to 750. We see that 9 \times 80 = 720 is the nearest. Now subtract 720 from 750 to get reminder 30. Add 9 to quotient.
\begin{array}{l}\phantom{80)}009\phantom{7}\\80\overline{)7500}\\\phantom{80)}\underline{\phantom{}720\phantom{9}}\\\phantom{80)9}300\\\end{array}
Use the 4^{th} digit 0 from dividend 7500
\begin{array}{l}\phantom{80)}0093\phantom{8}\\80\overline{)7500}\\\phantom{80)}\underline{\phantom{}720\phantom{9}}\\\phantom{80)9}300\\\phantom{80)}\underline{\phantom{9}240\phantom{}}\\\phantom{80)99}60\\\end{array}
Find closest multiple of 80 to 300. We see that 3 \times 80 = 240 is the nearest. Now subtract 240 from 300 to get reminder 60. Add 3 to quotient.
\text{Quotient: }93 \text{Reminder: }60
Since 60 is less than 80, stop the division. The reminder is 60. The topmost line 0093 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 93.
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}