Evaluate
\frac{357}{2}=178.5
Factor
\frac{3 \cdot 7 \cdot 17}{2} = 178\frac{1}{2} = 178.5
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\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)2856}\\\end{array}
Use the 1^{st} digit 2 from dividend 2856
\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)2856}\\\end{array}
Since 2 is less than 16, use the next digit 8 from dividend 2856 and add 0 to the quotient
\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)2856}\\\end{array}
Use the 2^{nd} digit 8 from dividend 2856
\begin{array}{l}\phantom{16)}01\phantom{4}\\16\overline{)2856}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)}12\\\end{array}
Find closest multiple of 16 to 28. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 28 to get reminder 12. Add 1 to quotient.
\begin{array}{l}\phantom{16)}01\phantom{5}\\16\overline{)2856}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)}125\\\end{array}
Use the 3^{rd} digit 5 from dividend 2856
\begin{array}{l}\phantom{16)}017\phantom{6}\\16\overline{)2856}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)}125\\\phantom{16)}\underline{\phantom{}112\phantom{9}}\\\phantom{16)9}13\\\end{array}
Find closest multiple of 16 to 125. We see that 7 \times 16 = 112 is the nearest. Now subtract 112 from 125 to get reminder 13. Add 7 to quotient.
\begin{array}{l}\phantom{16)}017\phantom{7}\\16\overline{)2856}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)}125\\\phantom{16)}\underline{\phantom{}112\phantom{9}}\\\phantom{16)9}136\\\end{array}
Use the 4^{th} digit 6 from dividend 2856
\begin{array}{l}\phantom{16)}0178\phantom{8}\\16\overline{)2856}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)}125\\\phantom{16)}\underline{\phantom{}112\phantom{9}}\\\phantom{16)9}136\\\phantom{16)}\underline{\phantom{9}128\phantom{}}\\\phantom{16)999}8\\\end{array}
Find closest multiple of 16 to 136. We see that 8 \times 16 = 128 is the nearest. Now subtract 128 from 136 to get reminder 8. Add 8 to quotient.
\text{Quotient: }178 \text{Reminder: }8
Since 8 is less than 16, stop the division. The reminder is 8. The topmost line 0178 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 178.
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}