Solve 2812/19

$$\frac { 2812 } { 19 }$$

Evaluate

$$148$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2812

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)2812}\\\end{array}$$

Since 2 is less than 19, use the next digit 8 from dividend 2812 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)2812}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 2812

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)2812}\\\end{array}$$

Find closest multiple of 19 to 28. We see that 1 \times 19 = 19 is the nearest. Now subtract 19 from 28 to get reminder 9. Add 1 to quotient.

$$\begin{array}{l}\phantom{19)}01\phantom{4}\\19\overline{)2812}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}9\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 2812

$$\begin{array}{l}\phantom{19)}01\phantom{5}\\19\overline{)2812}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}91\\\end{array}$$

Find closest multiple of 19 to 91. We see that 4 \times 19 = 76 is the nearest. Now subtract 76 from 91 to get reminder 15. Add 4 to quotient.

$$\begin{array}{l}\phantom{19)}014\phantom{6}\\19\overline{)2812}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}91\\\phantom{19)}\underline{\phantom{9}76\phantom{9}}\\\phantom{19)9}15\\\end{array}$$

Use the 4^{th} digit 2 from dividend 2812

$$\begin{array}{l}\phantom{19)}014\phantom{7}\\19\overline{)2812}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}91\\\phantom{19)}\underline{\phantom{9}76\phantom{9}}\\\phantom{19)9}152\\\end{array}$$

Find closest multiple of 19 to 152. We see that 8 \times 19 = 152 is the nearest. Now subtract 152 from 152 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{19)}0148\phantom{8}\\19\overline{)2812}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}91\\\phantom{19)}\underline{\phantom{9}76\phantom{9}}\\\phantom{19)9}152\\\phantom{19)}\underline{\phantom{9}152\phantom{}}\\\phantom{19)9999}0\\\end{array}$$

Since 0 is less than 19, stop the division. The reminder is 0. The topmost line 0148 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 148.

$$\text{Quotient: }148 \text{Reminder: }0$$

Factor

$$2^{2}\times 37$$