Evaluate
\frac{53520}{37}\approx 1446.486486486
Factor
\frac{2 ^ {4} \cdot 3 \cdot 5 \cdot 223}{37} = 1446\frac{18}{37} = 1446.4864864864865
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\begin{array}{l}\phantom{37)}\phantom{1}\\37\overline{)53520}\\\end{array}
Use the 1^{st} digit 5 from dividend 53520
\begin{array}{l}\phantom{37)}0\phantom{2}\\37\overline{)53520}\\\end{array}
Since 5 is less than 37, use the next digit 3 from dividend 53520 and add 0 to the quotient
\begin{array}{l}\phantom{37)}0\phantom{3}\\37\overline{)53520}\\\end{array}
Use the 2^{nd} digit 3 from dividend 53520
\begin{array}{l}\phantom{37)}01\phantom{4}\\37\overline{)53520}\\\phantom{37)}\underline{\phantom{}37\phantom{999}}\\\phantom{37)}16\\\end{array}
Find closest multiple of 37 to 53. We see that 1 \times 37 = 37 is the nearest. Now subtract 37 from 53 to get reminder 16. Add 1 to quotient.
\begin{array}{l}\phantom{37)}01\phantom{5}\\37\overline{)53520}\\\phantom{37)}\underline{\phantom{}37\phantom{999}}\\\phantom{37)}165\\\end{array}
Use the 3^{rd} digit 5 from dividend 53520
\begin{array}{l}\phantom{37)}014\phantom{6}\\37\overline{)53520}\\\phantom{37)}\underline{\phantom{}37\phantom{999}}\\\phantom{37)}165\\\phantom{37)}\underline{\phantom{}148\phantom{99}}\\\phantom{37)9}17\\\end{array}
Find closest multiple of 37 to 165. We see that 4 \times 37 = 148 is the nearest. Now subtract 148 from 165 to get reminder 17. Add 4 to quotient.
\begin{array}{l}\phantom{37)}014\phantom{7}\\37\overline{)53520}\\\phantom{37)}\underline{\phantom{}37\phantom{999}}\\\phantom{37)}165\\\phantom{37)}\underline{\phantom{}148\phantom{99}}\\\phantom{37)9}172\\\end{array}
Use the 4^{th} digit 2 from dividend 53520
\begin{array}{l}\phantom{37)}0144\phantom{8}\\37\overline{)53520}\\\phantom{37)}\underline{\phantom{}37\phantom{999}}\\\phantom{37)}165\\\phantom{37)}\underline{\phantom{}148\phantom{99}}\\\phantom{37)9}172\\\phantom{37)}\underline{\phantom{9}148\phantom{9}}\\\phantom{37)99}24\\\end{array}
Find closest multiple of 37 to 172. We see that 4 \times 37 = 148 is the nearest. Now subtract 148 from 172 to get reminder 24. Add 4 to quotient.
\begin{array}{l}\phantom{37)}0144\phantom{9}\\37\overline{)53520}\\\phantom{37)}\underline{\phantom{}37\phantom{999}}\\\phantom{37)}165\\\phantom{37)}\underline{\phantom{}148\phantom{99}}\\\phantom{37)9}172\\\phantom{37)}\underline{\phantom{9}148\phantom{9}}\\\phantom{37)99}240\\\end{array}
Use the 5^{th} digit 0 from dividend 53520
\begin{array}{l}\phantom{37)}01446\phantom{10}\\37\overline{)53520}\\\phantom{37)}\underline{\phantom{}37\phantom{999}}\\\phantom{37)}165\\\phantom{37)}\underline{\phantom{}148\phantom{99}}\\\phantom{37)9}172\\\phantom{37)}\underline{\phantom{9}148\phantom{9}}\\\phantom{37)99}240\\\phantom{37)}\underline{\phantom{99}222\phantom{}}\\\phantom{37)999}18\\\end{array}
Find closest multiple of 37 to 240. We see that 6 \times 37 = 222 is the nearest. Now subtract 222 from 240 to get reminder 18. Add 6 to quotient.
\text{Quotient: }1446 \text{Reminder: }18
Since 18 is less than 37, stop the division. The reminder is 18. The topmost line 01446 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1446.
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}