Evaluate
229
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229
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\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)7328}\\\end{array}
Use the 1^{st} digit 7 from dividend 7328
\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)7328}\\\end{array}
Since 7 is less than 32, use the next digit 3 from dividend 7328 and add 0 to the quotient
\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)7328}\\\end{array}
Use the 2^{nd} digit 3 from dividend 7328
\begin{array}{l}\phantom{32)}02\phantom{4}\\32\overline{)7328}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)9}9\\\end{array}
Find closest multiple of 32 to 73. We see that 2 \times 32 = 64 is the nearest. Now subtract 64 from 73 to get reminder 9. Add 2 to quotient.
\begin{array}{l}\phantom{32)}02\phantom{5}\\32\overline{)7328}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)9}92\\\end{array}
Use the 3^{rd} digit 2 from dividend 7328
\begin{array}{l}\phantom{32)}022\phantom{6}\\32\overline{)7328}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)9}92\\\phantom{32)}\underline{\phantom{9}64\phantom{9}}\\\phantom{32)9}28\\\end{array}
Find closest multiple of 32 to 92. We see that 2 \times 32 = 64 is the nearest. Now subtract 64 from 92 to get reminder 28. Add 2 to quotient.
\begin{array}{l}\phantom{32)}022\phantom{7}\\32\overline{)7328}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)9}92\\\phantom{32)}\underline{\phantom{9}64\phantom{9}}\\\phantom{32)9}288\\\end{array}
Use the 4^{th} digit 8 from dividend 7328
\begin{array}{l}\phantom{32)}0229\phantom{8}\\32\overline{)7328}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)9}92\\\phantom{32)}\underline{\phantom{9}64\phantom{9}}\\\phantom{32)9}288\\\phantom{32)}\underline{\phantom{9}288\phantom{}}\\\phantom{32)9999}0\\\end{array}
Find closest multiple of 32 to 288. We see that 9 \times 32 = 288 is the nearest. Now subtract 288 from 288 to get reminder 0. Add 9 to quotient.
\text{Quotient: }229 \text{Reminder: }0
Since 0 is less than 32, stop the division. The reminder is 0. The topmost line 0229 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 229.
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}