Evaluate
\frac{343}{2}=171.5
Factor
\frac{7 ^ {3}}{2} = 171\frac{1}{2} = 171.5
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\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)5488}\\\end{array}
Use the 1^{st} digit 5 from dividend 5488
\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)5488}\\\end{array}
Since 5 is less than 32, use the next digit 4 from dividend 5488 and add 0 to the quotient
\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)5488}\\\end{array}
Use the 2^{nd} digit 4 from dividend 5488
\begin{array}{l}\phantom{32)}01\phantom{4}\\32\overline{)5488}\\\phantom{32)}\underline{\phantom{}32\phantom{99}}\\\phantom{32)}22\\\end{array}
Find closest multiple of 32 to 54. We see that 1 \times 32 = 32 is the nearest. Now subtract 32 from 54 to get reminder 22. Add 1 to quotient.
\begin{array}{l}\phantom{32)}01\phantom{5}\\32\overline{)5488}\\\phantom{32)}\underline{\phantom{}32\phantom{99}}\\\phantom{32)}228\\\end{array}
Use the 3^{rd} digit 8 from dividend 5488
\begin{array}{l}\phantom{32)}017\phantom{6}\\32\overline{)5488}\\\phantom{32)}\underline{\phantom{}32\phantom{99}}\\\phantom{32)}228\\\phantom{32)}\underline{\phantom{}224\phantom{9}}\\\phantom{32)99}4\\\end{array}
Find closest multiple of 32 to 228. We see that 7 \times 32 = 224 is the nearest. Now subtract 224 from 228 to get reminder 4. Add 7 to quotient.
\begin{array}{l}\phantom{32)}017\phantom{7}\\32\overline{)5488}\\\phantom{32)}\underline{\phantom{}32\phantom{99}}\\\phantom{32)}228\\\phantom{32)}\underline{\phantom{}224\phantom{9}}\\\phantom{32)99}48\\\end{array}
Use the 4^{th} digit 8 from dividend 5488
\begin{array}{l}\phantom{32)}0171\phantom{8}\\32\overline{)5488}\\\phantom{32)}\underline{\phantom{}32\phantom{99}}\\\phantom{32)}228\\\phantom{32)}\underline{\phantom{}224\phantom{9}}\\\phantom{32)99}48\\\phantom{32)}\underline{\phantom{99}32\phantom{}}\\\phantom{32)99}16\\\end{array}
Find closest multiple of 32 to 48. We see that 1 \times 32 = 32 is the nearest. Now subtract 32 from 48 to get reminder 16. Add 1 to quotient.
\text{Quotient: }171 \text{Reminder: }16
Since 16 is less than 32, stop the division. The reminder is 16. The topmost line 0171 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}