Solve 265835div15

$$265835 \div 15$$

Evaluate

$$\frac{53167}{3}\approx 17722.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 265835

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)265835}\\\end{array}$$

Since 2 is less than 15, use the next digit 6 from dividend 265835 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)265835}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 265835

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)265835}\\\end{array}$$

Find closest multiple of 15 to 26. We see that 1 \times 15 = 15 is the nearest. Now subtract 15 from 26 to get reminder 11. Add 1 to quotient.

$$\begin{array}{l}\phantom{15)}01\phantom{4}\\15\overline{)265835}\\\phantom{15)}\underline{\phantom{}15\phantom{9999}}\\\phantom{15)}11\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 265835

$$\begin{array}{l}\phantom{15)}01\phantom{5}\\15\overline{)265835}\\\phantom{15)}\underline{\phantom{}15\phantom{9999}}\\\phantom{15)}115\\\end{array}$$

Find closest multiple of 15 to 115. We see that 7 \times 15 = 105 is the nearest. Now subtract 105 from 115 to get reminder 10. Add 7 to quotient.

$$\begin{array}{l}\phantom{15)}017\phantom{6}\\15\overline{)265835}\\\phantom{15)}\underline{\phantom{}15\phantom{9999}}\\\phantom{15)}115\\\phantom{15)}\underline{\phantom{}105\phantom{999}}\\\phantom{15)9}10\\\end{array}$$

Use the 4^{th} digit 8 from dividend 265835

$$\begin{array}{l}\phantom{15)}017\phantom{7}\\15\overline{)265835}\\\phantom{15)}\underline{\phantom{}15\phantom{9999}}\\\phantom{15)}115\\\phantom{15)}\underline{\phantom{}105\phantom{999}}\\\phantom{15)9}108\\\end{array}$$

Find closest multiple of 15 to 108. We see that 7 \times 15 = 105 is the nearest. Now subtract 105 from 108 to get reminder 3. Add 7 to quotient.

$$\begin{array}{l}\phantom{15)}0177\phantom{8}\\15\overline{)265835}\\\phantom{15)}\underline{\phantom{}15\phantom{9999}}\\\phantom{15)}115\\\phantom{15)}\underline{\phantom{}105\phantom{999}}\\\phantom{15)9}108\\\phantom{15)}\underline{\phantom{9}105\phantom{99}}\\\phantom{15)999}3\\\end{array}$$

Use the 5^{th} digit 3 from dividend 265835

$$\begin{array}{l}\phantom{15)}0177\phantom{9}\\15\overline{)265835}\\\phantom{15)}\underline{\phantom{}15\phantom{9999}}\\\phantom{15)}115\\\phantom{15)}\underline{\phantom{}105\phantom{999}}\\\phantom{15)9}108\\\phantom{15)}\underline{\phantom{9}105\phantom{99}}\\\phantom{15)999}33\\\end{array}$$

Find closest multiple of 15 to 33. We see that 2 \times 15 = 30 is the nearest. Now subtract 30 from 33 to get reminder 3. Add 2 to quotient.

$$\begin{array}{l}\phantom{15)}01772\phantom{10}\\15\overline{)265835}\\\phantom{15)}\underline{\phantom{}15\phantom{9999}}\\\phantom{15)}115\\\phantom{15)}\underline{\phantom{}105\phantom{999}}\\\phantom{15)9}108\\\phantom{15)}\underline{\phantom{9}105\phantom{99}}\\\phantom{15)999}33\\\phantom{15)}\underline{\phantom{999}30\phantom{9}}\\\phantom{15)9999}3\\\end{array}$$

Use the 6^{th} digit 5 from dividend 265835

$$\begin{array}{l}\phantom{15)}01772\phantom{11}\\15\overline{)265835}\\\phantom{15)}\underline{\phantom{}15\phantom{9999}}\\\phantom{15)}115\\\phantom{15)}\underline{\phantom{}105\phantom{999}}\\\phantom{15)9}108\\\phantom{15)}\underline{\phantom{9}105\phantom{99}}\\\phantom{15)999}33\\\phantom{15)}\underline{\phantom{999}30\phantom{9}}\\\phantom{15)9999}35\\\end{array}$$

Find closest multiple of 15 to 35. We see that 2 \times 15 = 30 is the nearest. Now subtract 30 from 35 to get reminder 5. Add 2 to quotient.

$$\begin{array}{l}\phantom{15)}017722\phantom{12}\\15\overline{)265835}\\\phantom{15)}\underline{\phantom{}15\phantom{9999}}\\\phantom{15)}115\\\phantom{15)}\underline{\phantom{}105\phantom{999}}\\\phantom{15)9}108\\\phantom{15)}\underline{\phantom{9}105\phantom{99}}\\\phantom{15)999}33\\\phantom{15)}\underline{\phantom{999}30\phantom{9}}\\\phantom{15)9999}35\\\phantom{15)}\underline{\phantom{9999}30\phantom{}}\\\phantom{15)99999}5\\\end{array}$$

Since 5 is less than 15, stop the division. The reminder is 5. The topmost line 017722 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17722.

$$\text{Quotient: }17722 \text{Reminder: }5$$

Factor

$$\frac{79 \cdot 673}{3} = 17722\frac{1}{3} = 17722.333333333332$$