Evaluate
\frac{1775320}{29}\approx 61217.931034483
Factor
\frac{2 ^ {3} \cdot 5 \cdot 44383}{29} = 61217\frac{27}{29} = 61217.93103448276
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\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)1775320}\\\end{array}
Use the 1^{st} digit 1 from dividend 1775320
\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)1775320}\\\end{array}
Since 1 is less than 29, use the next digit 7 from dividend 1775320 and add 0 to the quotient
\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)1775320}\\\end{array}
Use the 2^{nd} digit 7 from dividend 1775320
\begin{array}{l}\phantom{29)}00\phantom{4}\\29\overline{)1775320}\\\end{array}
Since 17 is less than 29, use the next digit 7 from dividend 1775320 and add 0 to the quotient
\begin{array}{l}\phantom{29)}00\phantom{5}\\29\overline{)1775320}\\\end{array}
Use the 3^{rd} digit 7 from dividend 1775320
\begin{array}{l}\phantom{29)}006\phantom{6}\\29\overline{)1775320}\\\phantom{29)}\underline{\phantom{}174\phantom{9999}}\\\phantom{29)99}3\\\end{array}
Find closest multiple of 29 to 177. We see that 6 \times 29 = 174 is the nearest. Now subtract 174 from 177 to get reminder 3. Add 6 to quotient.
\begin{array}{l}\phantom{29)}006\phantom{7}\\29\overline{)1775320}\\\phantom{29)}\underline{\phantom{}174\phantom{9999}}\\\phantom{29)99}35\\\end{array}
Use the 4^{th} digit 5 from dividend 1775320
\begin{array}{l}\phantom{29)}0061\phantom{8}\\29\overline{)1775320}\\\phantom{29)}\underline{\phantom{}174\phantom{9999}}\\\phantom{29)99}35\\\phantom{29)}\underline{\phantom{99}29\phantom{999}}\\\phantom{29)999}6\\\end{array}
Find closest multiple of 29 to 35. We see that 1 \times 29 = 29 is the nearest. Now subtract 29 from 35 to get reminder 6. Add 1 to quotient.
\begin{array}{l}\phantom{29)}0061\phantom{9}\\29\overline{)1775320}\\\phantom{29)}\underline{\phantom{}174\phantom{9999}}\\\phantom{29)99}35\\\phantom{29)}\underline{\phantom{99}29\phantom{999}}\\\phantom{29)999}63\\\end{array}
Use the 5^{th} digit 3 from dividend 1775320
\begin{array}{l}\phantom{29)}00612\phantom{10}\\29\overline{)1775320}\\\phantom{29)}\underline{\phantom{}174\phantom{9999}}\\\phantom{29)99}35\\\phantom{29)}\underline{\phantom{99}29\phantom{999}}\\\phantom{29)999}63\\\phantom{29)}\underline{\phantom{999}58\phantom{99}}\\\phantom{29)9999}5\\\end{array}
Find closest multiple of 29 to 63. We see that 2 \times 29 = 58 is the nearest. Now subtract 58 from 63 to get reminder 5. Add 2 to quotient.
\begin{array}{l}\phantom{29)}00612\phantom{11}\\29\overline{)1775320}\\\phantom{29)}\underline{\phantom{}174\phantom{9999}}\\\phantom{29)99}35\\\phantom{29)}\underline{\phantom{99}29\phantom{999}}\\\phantom{29)999}63\\\phantom{29)}\underline{\phantom{999}58\phantom{99}}\\\phantom{29)9999}52\\\end{array}
Use the 6^{th} digit 2 from dividend 1775320
\begin{array}{l}\phantom{29)}006121\phantom{12}\\29\overline{)1775320}\\\phantom{29)}\underline{\phantom{}174\phantom{9999}}\\\phantom{29)99}35\\\phantom{29)}\underline{\phantom{99}29\phantom{999}}\\\phantom{29)999}63\\\phantom{29)}\underline{\phantom{999}58\phantom{99}}\\\phantom{29)9999}52\\\phantom{29)}\underline{\phantom{9999}29\phantom{9}}\\\phantom{29)9999}23\\\end{array}
Find closest multiple of 29 to 52. We see that 1 \times 29 = 29 is the nearest. Now subtract 29 from 52 to get reminder 23. Add 1 to quotient.
\begin{array}{l}\phantom{29)}006121\phantom{13}\\29\overline{)1775320}\\\phantom{29)}\underline{\phantom{}174\phantom{9999}}\\\phantom{29)99}35\\\phantom{29)}\underline{\phantom{99}29\phantom{999}}\\\phantom{29)999}63\\\phantom{29)}\underline{\phantom{999}58\phantom{99}}\\\phantom{29)9999}52\\\phantom{29)}\underline{\phantom{9999}29\phantom{9}}\\\phantom{29)9999}230\\\end{array}
Use the 7^{th} digit 0 from dividend 1775320
\begin{array}{l}\phantom{29)}0061217\phantom{14}\\29\overline{)1775320}\\\phantom{29)}\underline{\phantom{}174\phantom{9999}}\\\phantom{29)99}35\\\phantom{29)}\underline{\phantom{99}29\phantom{999}}\\\phantom{29)999}63\\\phantom{29)}\underline{\phantom{999}58\phantom{99}}\\\phantom{29)9999}52\\\phantom{29)}\underline{\phantom{9999}29\phantom{9}}\\\phantom{29)9999}230\\\phantom{29)}\underline{\phantom{9999}203\phantom{}}\\\phantom{29)99999}27\\\end{array}
Find closest multiple of 29 to 230. We see that 7 \times 29 = 203 is the nearest. Now subtract 203 from 230 to get reminder 27. Add 7 to quotient.
\text{Quotient: }61217 \text{Reminder: }27
Since 27 is less than 29, stop the division. The reminder is 27. The topmost line 0061217 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 61217.
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}