Solve 1253div12

$$1253 \div 12$$

Evaluate

$$\frac{1253}{12}\approx 104.416666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1253

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1253}\\\end{array}$$

Since 1 is less than 12, use the next digit 2 from dividend 1253 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1253}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1253

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1253}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)1253}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}0\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1253

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)1253}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}5\\\end{array}$$

Since 5 is less than 12, use the next digit 3 from dividend 1253 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}010\phantom{6}\\12\overline{)1253}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}5\\\end{array}$$

Use the 4^{th} digit 3 from dividend 1253

$$\begin{array}{l}\phantom{12)}010\phantom{7}\\12\overline{)1253}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}53\\\end{array}$$

Find closest multiple of 12 to 53. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 53 to get reminder 5. Add 4 to quotient.

$$\begin{array}{l}\phantom{12)}0104\phantom{8}\\12\overline{)1253}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}53\\\phantom{12)}\underline{\phantom{99}48\phantom{}}\\\phantom{12)999}5\\\end{array}$$

Since 5 is less than 12, stop the division. The reminder is 5. The topmost line 0104 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 104.

$$\text{Quotient: }104 \text{Reminder: }5$$

Factor

$$\frac{7 \cdot 179}{2 ^ {2} \cdot 3} = 104\frac{5}{12} = 104.41666666666667$$