Solve 1993/12

$$\frac{ 1993 }{ 12 }$$

Evaluate

$$\frac{1993}{12}\approx 166.083333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1993

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1993}\\\end{array}$$

Since 1 is less than 12, use the next digit 9 from dividend 1993 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1993}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1993

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1993}\\\end{array}$$

Find closest multiple of 12 to 19. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 19 to get reminder 7. Add 1 to quotient.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)1993}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}7\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 1993

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)1993}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}79\\\end{array}$$

Find closest multiple of 12 to 79. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 79 to get reminder 7. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}016\phantom{6}\\12\overline{)1993}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}79\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}7\\\end{array}$$

Use the 4^{th} digit 3 from dividend 1993

$$\begin{array}{l}\phantom{12)}016\phantom{7}\\12\overline{)1993}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}79\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}73\\\end{array}$$

Find closest multiple of 12 to 73. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 73 to get reminder 1. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}0166\phantom{8}\\12\overline{)1993}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}79\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}73\\\phantom{12)}\underline{\phantom{99}72\phantom{}}\\\phantom{12)999}1\\\end{array}$$

Since 1 is less than 12, stop the division. The reminder is 1. The topmost line 0166 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 166.

$$\text{Quotient: }166 \text{Reminder: }1$$

Factor

$$\frac{1993}{2 ^ {2} \cdot 3} = 166\frac{1}{12} = 166.08333333333334$$