Evaluate
1547
Factor
7\times 13\times 17
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\begin{array}{l}\phantom{37)}\phantom{1}\\37\overline{)57239}\\\end{array}
Use the 1^{st} digit 5 from dividend 57239
\begin{array}{l}\phantom{37)}0\phantom{2}\\37\overline{)57239}\\\end{array}
Since 5 is less than 37, use the next digit 7 from dividend 57239 and add 0 to the quotient
\begin{array}{l}\phantom{37)}0\phantom{3}\\37\overline{)57239}\\\end{array}
Use the 2^{nd} digit 7 from dividend 57239
\begin{array}{l}\phantom{37)}01\phantom{4}\\37\overline{)57239}\\\phantom{37)}\underline{\phantom{}37\phantom{999}}\\\phantom{37)}20\\\end{array}
Find closest multiple of 37 to 57. We see that 1 \times 37 = 37 is the nearest. Now subtract 37 from 57 to get reminder 20. Add 1 to quotient.
\begin{array}{l}\phantom{37)}01\phantom{5}\\37\overline{)57239}\\\phantom{37)}\underline{\phantom{}37\phantom{999}}\\\phantom{37)}202\\\end{array}
Use the 3^{rd} digit 2 from dividend 57239
\begin{array}{l}\phantom{37)}015\phantom{6}\\37\overline{)57239}\\\phantom{37)}\underline{\phantom{}37\phantom{999}}\\\phantom{37)}202\\\phantom{37)}\underline{\phantom{}185\phantom{99}}\\\phantom{37)9}17\\\end{array}
Find closest multiple of 37 to 202. We see that 5 \times 37 = 185 is the nearest. Now subtract 185 from 202 to get reminder 17. Add 5 to quotient.
\begin{array}{l}\phantom{37)}015\phantom{7}\\37\overline{)57239}\\\phantom{37)}\underline{\phantom{}37\phantom{999}}\\\phantom{37)}202\\\phantom{37)}\underline{\phantom{}185\phantom{99}}\\\phantom{37)9}173\\\end{array}
Use the 4^{th} digit 3 from dividend 57239
\begin{array}{l}\phantom{37)}0154\phantom{8}\\37\overline{)57239}\\\phantom{37)}\underline{\phantom{}37\phantom{999}}\\\phantom{37)}202\\\phantom{37)}\underline{\phantom{}185\phantom{99}}\\\phantom{37)9}173\\\phantom{37)}\underline{\phantom{9}148\phantom{9}}\\\phantom{37)99}25\\\end{array}
Find closest multiple of 37 to 173. We see that 4 \times 37 = 148 is the nearest. Now subtract 148 from 173 to get reminder 25. Add 4 to quotient.
\begin{array}{l}\phantom{37)}0154\phantom{9}\\37\overline{)57239}\\\phantom{37)}\underline{\phantom{}37\phantom{999}}\\\phantom{37)}202\\\phantom{37)}\underline{\phantom{}185\phantom{99}}\\\phantom{37)9}173\\\phantom{37)}\underline{\phantom{9}148\phantom{9}}\\\phantom{37)99}259\\\end{array}
Use the 5^{th} digit 9 from dividend 57239
\begin{array}{l}\phantom{37)}01547\phantom{10}\\37\overline{)57239}\\\phantom{37)}\underline{\phantom{}37\phantom{999}}\\\phantom{37)}202\\\phantom{37)}\underline{\phantom{}185\phantom{99}}\\\phantom{37)9}173\\\phantom{37)}\underline{\phantom{9}148\phantom{9}}\\\phantom{37)99}259\\\phantom{37)}\underline{\phantom{99}259\phantom{}}\\\phantom{37)99999}0\\\end{array}
Find closest multiple of 37 to 259. We see that 7 \times 37 = 259 is the nearest. Now subtract 259 from 259 to get reminder 0. Add 7 to quotient.
\text{Quotient: }1547 \text{Reminder: }0
Since 0 is less than 37, stop the division. The reminder is 0. The topmost line 01547 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1547.
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}