Solve 6,276div12=

$$6,276 \div 12 =$$

Evaluate

$$523$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6276

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)6276}\\\end{array}$$

Since 6 is less than 12, use the next digit 2 from dividend 6276 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)6276}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 6276

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)6276}\\\end{array}$$

Find closest multiple of 12 to 62. We see that 5 \times 12 = 60 is the nearest. Now subtract 60 from 62 to get reminder 2. Add 5 to quotient.

$$\begin{array}{l}\phantom{12)}05\phantom{4}\\12\overline{)6276}\\\phantom{12)}\underline{\phantom{}60\phantom{99}}\\\phantom{12)9}2\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 6276

$$\begin{array}{l}\phantom{12)}05\phantom{5}\\12\overline{)6276}\\\phantom{12)}\underline{\phantom{}60\phantom{99}}\\\phantom{12)9}27\\\end{array}$$

Find closest multiple of 12 to 27. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 27 to get reminder 3. Add 2 to quotient.

$$\begin{array}{l}\phantom{12)}052\phantom{6}\\12\overline{)6276}\\\phantom{12)}\underline{\phantom{}60\phantom{99}}\\\phantom{12)9}27\\\phantom{12)}\underline{\phantom{9}24\phantom{9}}\\\phantom{12)99}3\\\end{array}$$

Use the 4^{th} digit 6 from dividend 6276

$$\begin{array}{l}\phantom{12)}052\phantom{7}\\12\overline{)6276}\\\phantom{12)}\underline{\phantom{}60\phantom{99}}\\\phantom{12)9}27\\\phantom{12)}\underline{\phantom{9}24\phantom{9}}\\\phantom{12)99}36\\\end{array}$$

Find closest multiple of 12 to 36. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 36 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{12)}0523\phantom{8}\\12\overline{)6276}\\\phantom{12)}\underline{\phantom{}60\phantom{99}}\\\phantom{12)9}27\\\phantom{12)}\underline{\phantom{9}24\phantom{9}}\\\phantom{12)99}36\\\phantom{12)}\underline{\phantom{99}36\phantom{}}\\\phantom{12)9999}0\\\end{array}$$

Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 0523 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 523.

$$\text{Quotient: }523 \text{Reminder: }0$$

Factor

$$523$$