Solve 1295div12

$$1295 \div 12$$

Evaluate

$$\frac{1295}{12}\approx 107.916666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1295

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1295}\\\end{array}$$

Since 1 is less than 12, use the next digit 2 from dividend 1295 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1295}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1295

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1295}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)1295}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}0\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 1295

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)1295}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}9\\\end{array}$$

Since 9 is less than 12, use the next digit 5 from dividend 1295 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}010\phantom{6}\\12\overline{)1295}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}9\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1295

$$\begin{array}{l}\phantom{12)}010\phantom{7}\\12\overline{)1295}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}95\\\end{array}$$

Find closest multiple of 12 to 95. We see that 7 \times 12 = 84 is the nearest. Now subtract 84 from 95 to get reminder 11. Add 7 to quotient.

$$\begin{array}{l}\phantom{12)}0107\phantom{8}\\12\overline{)1295}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}95\\\phantom{12)}\underline{\phantom{99}84\phantom{}}\\\phantom{12)99}11\\\end{array}$$

Since 11 is less than 12, stop the division. The reminder is 11. The topmost line 0107 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 107.

$$\text{Quotient: }107 \text{Reminder: }11$$

Factor

$$\frac{5 \cdot 7 \cdot 37}{2 ^ {2} \cdot 3} = 107\frac{11}{12} = 107.91666666666667$$