Evaluate
32856
Factor
2^{3}\times 3\times 37^{2}
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\begin{array}{l}\phantom{37)}\phantom{1}\\37\overline{)1215672}\\\end{array}
Use the 1^{st} digit 1 from dividend 1215672
\begin{array}{l}\phantom{37)}0\phantom{2}\\37\overline{)1215672}\\\end{array}
Since 1 is less than 37, use the next digit 2 from dividend 1215672 and add 0 to the quotient
\begin{array}{l}\phantom{37)}0\phantom{3}\\37\overline{)1215672}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1215672
\begin{array}{l}\phantom{37)}00\phantom{4}\\37\overline{)1215672}\\\end{array}
Since 12 is less than 37, use the next digit 1 from dividend 1215672 and add 0 to the quotient
\begin{array}{l}\phantom{37)}00\phantom{5}\\37\overline{)1215672}\\\end{array}
Use the 3^{rd} digit 1 from dividend 1215672
\begin{array}{l}\phantom{37)}003\phantom{6}\\37\overline{)1215672}\\\phantom{37)}\underline{\phantom{}111\phantom{9999}}\\\phantom{37)9}10\\\end{array}
Find closest multiple of 37 to 121. We see that 3 \times 37 = 111 is the nearest. Now subtract 111 from 121 to get reminder 10. Add 3 to quotient.
\begin{array}{l}\phantom{37)}003\phantom{7}\\37\overline{)1215672}\\\phantom{37)}\underline{\phantom{}111\phantom{9999}}\\\phantom{37)9}105\\\end{array}
Use the 4^{th} digit 5 from dividend 1215672
\begin{array}{l}\phantom{37)}0032\phantom{8}\\37\overline{)1215672}\\\phantom{37)}\underline{\phantom{}111\phantom{9999}}\\\phantom{37)9}105\\\phantom{37)}\underline{\phantom{99}74\phantom{999}}\\\phantom{37)99}31\\\end{array}
Find closest multiple of 37 to 105. We see that 2 \times 37 = 74 is the nearest. Now subtract 74 from 105 to get reminder 31. Add 2 to quotient.
\begin{array}{l}\phantom{37)}0032\phantom{9}\\37\overline{)1215672}\\\phantom{37)}\underline{\phantom{}111\phantom{9999}}\\\phantom{37)9}105\\\phantom{37)}\underline{\phantom{99}74\phantom{999}}\\\phantom{37)99}316\\\end{array}
Use the 5^{th} digit 6 from dividend 1215672
\begin{array}{l}\phantom{37)}00328\phantom{10}\\37\overline{)1215672}\\\phantom{37)}\underline{\phantom{}111\phantom{9999}}\\\phantom{37)9}105\\\phantom{37)}\underline{\phantom{99}74\phantom{999}}\\\phantom{37)99}316\\\phantom{37)}\underline{\phantom{99}296\phantom{99}}\\\phantom{37)999}20\\\end{array}
Find closest multiple of 37 to 316. We see that 8 \times 37 = 296 is the nearest. Now subtract 296 from 316 to get reminder 20. Add 8 to quotient.
\begin{array}{l}\phantom{37)}00328\phantom{11}\\37\overline{)1215672}\\\phantom{37)}\underline{\phantom{}111\phantom{9999}}\\\phantom{37)9}105\\\phantom{37)}\underline{\phantom{99}74\phantom{999}}\\\phantom{37)99}316\\\phantom{37)}\underline{\phantom{99}296\phantom{99}}\\\phantom{37)999}207\\\end{array}
Use the 6^{th} digit 7 from dividend 1215672
\begin{array}{l}\phantom{37)}003285\phantom{12}\\37\overline{)1215672}\\\phantom{37)}\underline{\phantom{}111\phantom{9999}}\\\phantom{37)9}105\\\phantom{37)}\underline{\phantom{99}74\phantom{999}}\\\phantom{37)99}316\\\phantom{37)}\underline{\phantom{99}296\phantom{99}}\\\phantom{37)999}207\\\phantom{37)}\underline{\phantom{999}185\phantom{9}}\\\phantom{37)9999}22\\\end{array}
Find closest multiple of 37 to 207. We see that 5 \times 37 = 185 is the nearest. Now subtract 185 from 207 to get reminder 22. Add 5 to quotient.
\begin{array}{l}\phantom{37)}003285\phantom{13}\\37\overline{)1215672}\\\phantom{37)}\underline{\phantom{}111\phantom{9999}}\\\phantom{37)9}105\\\phantom{37)}\underline{\phantom{99}74\phantom{999}}\\\phantom{37)99}316\\\phantom{37)}\underline{\phantom{99}296\phantom{99}}\\\phantom{37)999}207\\\phantom{37)}\underline{\phantom{999}185\phantom{9}}\\\phantom{37)9999}222\\\end{array}
Use the 7^{th} digit 2 from dividend 1215672
\begin{array}{l}\phantom{37)}0032856\phantom{14}\\37\overline{)1215672}\\\phantom{37)}\underline{\phantom{}111\phantom{9999}}\\\phantom{37)9}105\\\phantom{37)}\underline{\phantom{99}74\phantom{999}}\\\phantom{37)99}316\\\phantom{37)}\underline{\phantom{99}296\phantom{99}}\\\phantom{37)999}207\\\phantom{37)}\underline{\phantom{999}185\phantom{9}}\\\phantom{37)9999}222\\\phantom{37)}\underline{\phantom{9999}222\phantom{}}\\\phantom{37)9999999}0\\\end{array}
Find closest multiple of 37 to 222. We see that 6 \times 37 = 222 is the nearest. Now subtract 222 from 222 to get reminder 0. Add 6 to quotient.
\text{Quotient: }32856 \text{Reminder: }0
Since 0 is less than 37, stop the division. The reminder is 0. The topmost line 0032856 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 32856.
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}