Solve 4,965/18

$$\frac { 4,965 } { 18 }$$

Evaluate

$$\frac{1655}{6}\approx 275.833333333$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4965

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)4965}\\\end{array}$$

Since 4 is less than 18, use the next digit 9 from dividend 4965 and add 0 to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)4965}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 4965

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)4965}\\\end{array}$$

Find closest multiple of 18 to 49. We see that 2 \times 18 = 36 is the nearest. Now subtract 36 from 49 to get reminder 13. Add 2 to quotient.

$$\begin{array}{l}\phantom{18)}02\phantom{4}\\18\overline{)4965}\\\phantom{18)}\underline{\phantom{}36\phantom{99}}\\\phantom{18)}13\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 4965

$$\begin{array}{l}\phantom{18)}02\phantom{5}\\18\overline{)4965}\\\phantom{18)}\underline{\phantom{}36\phantom{99}}\\\phantom{18)}136\\\end{array}$$

Find closest multiple of 18 to 136. We see that 7 \times 18 = 126 is the nearest. Now subtract 126 from 136 to get reminder 10. Add 7 to quotient.

$$\begin{array}{l}\phantom{18)}027\phantom{6}\\18\overline{)4965}\\\phantom{18)}\underline{\phantom{}36\phantom{99}}\\\phantom{18)}136\\\phantom{18)}\underline{\phantom{}126\phantom{9}}\\\phantom{18)9}10\\\end{array}$$

Use the 4^{th} digit 5 from dividend 4965

$$\begin{array}{l}\phantom{18)}027\phantom{7}\\18\overline{)4965}\\\phantom{18)}\underline{\phantom{}36\phantom{99}}\\\phantom{18)}136\\\phantom{18)}\underline{\phantom{}126\phantom{9}}\\\phantom{18)9}105\\\end{array}$$

Find closest multiple of 18 to 105. We see that 5 \times 18 = 90 is the nearest. Now subtract 90 from 105 to get reminder 15. Add 5 to quotient.

$$\begin{array}{l}\phantom{18)}0275\phantom{8}\\18\overline{)4965}\\\phantom{18)}\underline{\phantom{}36\phantom{99}}\\\phantom{18)}136\\\phantom{18)}\underline{\phantom{}126\phantom{9}}\\\phantom{18)9}105\\\phantom{18)}\underline{\phantom{99}90\phantom{}}\\\phantom{18)99}15\\\end{array}$$

Since 15 is less than 18, stop the division. The reminder is 15. The topmost line 0275 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 275.

$$\text{Quotient: }275 \text{Reminder: }15$$

Factor

$$\frac{5 \cdot 331}{2 \cdot 3} = 275\frac{5}{6} = 275.8333333333333$$