Solve 2123/110

$$\frac { 2123 } { 110 }$$

Evaluate

$$\frac{193}{10}=19.3$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2123

$$\begin{array}{l}\phantom{110)}\phantom{1}\\110\overline{)2123}\\\end{array}$$

Since 2 is less than 110, use the next digit 1 from dividend 2123 and add 0 to the quotient

$$\begin{array}{l}\phantom{110)}0\phantom{2}\\110\overline{)2123}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 2123

$$\begin{array}{l}\phantom{110)}0\phantom{3}\\110\overline{)2123}\\\end{array}$$

Since 21 is less than 110, use the next digit 2 from dividend 2123 and add 0 to the quotient

$$\begin{array}{l}\phantom{110)}00\phantom{4}\\110\overline{)2123}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 2123

$$\begin{array}{l}\phantom{110)}00\phantom{5}\\110\overline{)2123}\\\end{array}$$

Find closest multiple of 110 to 212. We see that 1 \times 110 = 110 is the nearest. Now subtract 110 from 212 to get reminder 102. Add 1 to quotient.

$$\begin{array}{l}\phantom{110)}001\phantom{6}\\110\overline{)2123}\\\phantom{110)}\underline{\phantom{}110\phantom{9}}\\\phantom{110)}102\\\end{array}$$

Use the 4^{th} digit 3 from dividend 2123

$$\begin{array}{l}\phantom{110)}001\phantom{7}\\110\overline{)2123}\\\phantom{110)}\underline{\phantom{}110\phantom{9}}\\\phantom{110)}1023\\\end{array}$$

Find closest multiple of 110 to 1023. We see that 9 \times 110 = 990 is the nearest. Now subtract 990 from 1023 to get reminder 33. Add 9 to quotient.

$$\begin{array}{l}\phantom{110)}0019\phantom{8}\\110\overline{)2123}\\\phantom{110)}\underline{\phantom{}110\phantom{9}}\\\phantom{110)}1023\\\phantom{110)}\underline{\phantom{9}990\phantom{}}\\\phantom{110)99}33\\\end{array}$$

Since 33 is less than 110, stop the division. The reminder is 33. The topmost line 0019 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19.

$$\text{Quotient: }19 \text{Reminder: }33$$

Factor

$$\frac{193}{2 \cdot 5} = 19\frac{3}{10} = 19.3$$