Solve 12675div100

$$12675 \div 100$$

Evaluate

$$\frac{507}{4}=126.75$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12675

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)12675}\\\end{array}$$

Since 1 is less than 100, use the next digit 2 from dividend 12675 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)12675}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12675

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)12675}\\\end{array}$$

Since 12 is less than 100, use the next digit 6 from dividend 12675 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)12675}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 12675

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)12675}\\\end{array}$$

Find closest multiple of 100 to 126. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 126 to get reminder 26. Add 1 to quotient.

$$\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)12675}\\\phantom{100)}\underline{\phantom{}100\phantom{99}}\\\phantom{100)9}26\\\end{array}$$

Use the 4^{th} digit 7 from dividend 12675

$$\begin{array}{l}\phantom{100)}001\phantom{7}\\100\overline{)12675}\\\phantom{100)}\underline{\phantom{}100\phantom{99}}\\\phantom{100)9}267\\\end{array}$$

Find closest multiple of 100 to 267. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 267 to get reminder 67. Add 2 to quotient.

$$\begin{array}{l}\phantom{100)}0012\phantom{8}\\100\overline{)12675}\\\phantom{100)}\underline{\phantom{}100\phantom{99}}\\\phantom{100)9}267\\\phantom{100)}\underline{\phantom{9}200\phantom{9}}\\\phantom{100)99}67\\\end{array}$$

Use the 5^{th} digit 5 from dividend 12675

$$\begin{array}{l}\phantom{100)}0012\phantom{9}\\100\overline{)12675}\\\phantom{100)}\underline{\phantom{}100\phantom{99}}\\\phantom{100)9}267\\\phantom{100)}\underline{\phantom{9}200\phantom{9}}\\\phantom{100)99}675\\\end{array}$$

Find closest multiple of 100 to 675. We see that 6 \times 100 = 600 is the nearest. Now subtract 600 from 675 to get reminder 75. Add 6 to quotient.

$$\begin{array}{l}\phantom{100)}00126\phantom{10}\\100\overline{)12675}\\\phantom{100)}\underline{\phantom{}100\phantom{99}}\\\phantom{100)9}267\\\phantom{100)}\underline{\phantom{9}200\phantom{9}}\\\phantom{100)99}675\\\phantom{100)}\underline{\phantom{99}600\phantom{}}\\\phantom{100)999}75\\\end{array}$$

Since 75 is less than 100, stop the division. The reminder is 75. The topmost line 00126 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 126.

$$\text{Quotient: }126 \text{Reminder: }75$$

Factor

$$\frac{3 \cdot 13 ^ {2}}{2 ^ {2}} = 126\frac{3}{4} = 126.75$$