Solve 1267:12

$$1267 : 12$$

Evaluate

$$\frac{1267}{12}\approx 105.583333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1267

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1267}\\\end{array}$$

Since 1 is less than 12, use the next digit 2 from dividend 1267 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1267}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1267

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1267}\\\end{array}$$

Find closest multiple of 12 to 12. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 12 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)1267}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}0\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1267

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)1267}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}6\\\end{array}$$

Since 6 is less than 12, use the next digit 7 from dividend 1267 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}010\phantom{6}\\12\overline{)1267}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}6\\\end{array}$$

Use the 4^{th} digit 7 from dividend 1267

$$\begin{array}{l}\phantom{12)}010\phantom{7}\\12\overline{)1267}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}67\\\end{array}$$

Find closest multiple of 12 to 67. We see that 5 \times 12 = 60 is the nearest. Now subtract 60 from 67 to get reminder 7. Add 5 to quotient.

$$\begin{array}{l}\phantom{12)}0105\phantom{8}\\12\overline{)1267}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}67\\\phantom{12)}\underline{\phantom{99}60\phantom{}}\\\phantom{12)999}7\\\end{array}$$

Since 7 is less than 12, stop the division. The reminder is 7. The topmost line 0105 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 105.

$$\text{Quotient: }105 \text{Reminder: }7$$

Factor

$$\frac{7 \cdot 181}{2 ^ {2} \cdot 3} = 105\frac{7}{12} = 105.58333333333333$$