Evaluate
\frac{2848}{15}\approx 189.866666667
Factor
\frac{2 ^ {5} \cdot 89}{3 \cdot 5} = 189\frac{13}{15} = 189.86666666666667
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\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)5696}\\\end{array}
Use the 1^{st} digit 5 from dividend 5696
\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)5696}\\\end{array}
Since 5 is less than 30, use the next digit 6 from dividend 5696 and add 0 to the quotient
\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)5696}\\\end{array}
Use the 2^{nd} digit 6 from dividend 5696
\begin{array}{l}\phantom{30)}01\phantom{4}\\30\overline{)5696}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)}26\\\end{array}
Find closest multiple of 30 to 56. We see that 1 \times 30 = 30 is the nearest. Now subtract 30 from 56 to get reminder 26. Add 1 to quotient.
\begin{array}{l}\phantom{30)}01\phantom{5}\\30\overline{)5696}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)}269\\\end{array}
Use the 3^{rd} digit 9 from dividend 5696
\begin{array}{l}\phantom{30)}018\phantom{6}\\30\overline{)5696}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)}269\\\phantom{30)}\underline{\phantom{}240\phantom{9}}\\\phantom{30)9}29\\\end{array}
Find closest multiple of 30 to 269. We see that 8 \times 30 = 240 is the nearest. Now subtract 240 from 269 to get reminder 29. Add 8 to quotient.
\begin{array}{l}\phantom{30)}018\phantom{7}\\30\overline{)5696}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)}269\\\phantom{30)}\underline{\phantom{}240\phantom{9}}\\\phantom{30)9}296\\\end{array}
Use the 4^{th} digit 6 from dividend 5696
\begin{array}{l}\phantom{30)}0189\phantom{8}\\30\overline{)5696}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)}269\\\phantom{30)}\underline{\phantom{}240\phantom{9}}\\\phantom{30)9}296\\\phantom{30)}\underline{\phantom{9}270\phantom{}}\\\phantom{30)99}26\\\end{array}
Find closest multiple of 30 to 296. We see that 9 \times 30 = 270 is the nearest. Now subtract 270 from 296 to get reminder 26. Add 9 to quotient.
\text{Quotient: }189 \text{Reminder: }26
Since 26 is less than 30, stop the division. The reminder is 26. The topmost line 0189 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 189.
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}