Solve 1218/19

$$\frac{ 1218 }{ 19 }$$

Evaluate

$$\frac{1218}{19}\approx 64.105263158$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1218

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)1218}\\\end{array}$$

Since 1 is less than 19, use the next digit 2 from dividend 1218 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)1218}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1218

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)1218}\\\end{array}$$

Since 12 is less than 19, use the next digit 1 from dividend 1218 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}00\phantom{4}\\19\overline{)1218}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 1218

$$\begin{array}{l}\phantom{19)}00\phantom{5}\\19\overline{)1218}\\\end{array}$$

Find closest multiple of 19 to 121. We see that 6 \times 19 = 114 is the nearest. Now subtract 114 from 121 to get reminder 7. Add 6 to quotient.

$$\begin{array}{l}\phantom{19)}006\phantom{6}\\19\overline{)1218}\\\phantom{19)}\underline{\phantom{}114\phantom{9}}\\\phantom{19)99}7\\\end{array}$$

Use the 4^{th} digit 8 from dividend 1218

$$\begin{array}{l}\phantom{19)}006\phantom{7}\\19\overline{)1218}\\\phantom{19)}\underline{\phantom{}114\phantom{9}}\\\phantom{19)99}78\\\end{array}$$

Find closest multiple of 19 to 78. We see that 4 \times 19 = 76 is the nearest. Now subtract 76 from 78 to get reminder 2. Add 4 to quotient.

$$\begin{array}{l}\phantom{19)}0064\phantom{8}\\19\overline{)1218}\\\phantom{19)}\underline{\phantom{}114\phantom{9}}\\\phantom{19)99}78\\\phantom{19)}\underline{\phantom{99}76\phantom{}}\\\phantom{19)999}2\\\end{array}$$

Since 2 is less than 19, stop the division. The reminder is 2. The topmost line 0064 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 64.

$$\text{Quotient: }64 \text{Reminder: }2$$

Factor

$$\frac{2 \cdot 3 \cdot 7 \cdot 29}{19} = 64\frac{2}{19} = 64.10526315789474$$