Evaluate
16
Factor
2^{4}
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\begin{array}{l}\phantom{70)}\phantom{1}\\70\overline{)1120}\\\end{array}
Use the 1^{st} digit 1 from dividend 1120
\begin{array}{l}\phantom{70)}0\phantom{2}\\70\overline{)1120}\\\end{array}
Since 1 is less than 70, use the next digit 1 from dividend 1120 and add 0 to the quotient
\begin{array}{l}\phantom{70)}0\phantom{3}\\70\overline{)1120}\\\end{array}
Use the 2^{nd} digit 1 from dividend 1120
\begin{array}{l}\phantom{70)}00\phantom{4}\\70\overline{)1120}\\\end{array}
Since 11 is less than 70, use the next digit 2 from dividend 1120 and add 0 to the quotient
\begin{array}{l}\phantom{70)}00\phantom{5}\\70\overline{)1120}\\\end{array}
Use the 3^{rd} digit 2 from dividend 1120
\begin{array}{l}\phantom{70)}001\phantom{6}\\70\overline{)1120}\\\phantom{70)}\underline{\phantom{9}70\phantom{9}}\\\phantom{70)9}42\\\end{array}
Find closest multiple of 70 to 112. We see that 1 \times 70 = 70 is the nearest. Now subtract 70 from 112 to get reminder 42. Add 1 to quotient.
\begin{array}{l}\phantom{70)}001\phantom{7}\\70\overline{)1120}\\\phantom{70)}\underline{\phantom{9}70\phantom{9}}\\\phantom{70)9}420\\\end{array}
Use the 4^{th} digit 0 from dividend 1120
\begin{array}{l}\phantom{70)}0016\phantom{8}\\70\overline{)1120}\\\phantom{70)}\underline{\phantom{9}70\phantom{9}}\\\phantom{70)9}420\\\phantom{70)}\underline{\phantom{9}420\phantom{}}\\\phantom{70)9999}0\\\end{array}
Find closest multiple of 70 to 420. We see that 6 \times 70 = 420 is the nearest. Now subtract 420 from 420 to get reminder 0. Add 6 to quotient.
\text{Quotient: }16 \text{Reminder: }0
Since 0 is less than 70, stop the division. The reminder is 0. The topmost line 0016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.
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}