Solve 11000div12

$$11000 \div 12$$

Evaluate

$$\frac{2750}{3}\approx 916.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11000

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)11000}\\\end{array}$$

Since 1 is less than 12, use the next digit 1 from dividend 11000 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)11000}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11000

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)11000}\\\end{array}$$

Since 11 is less than 12, use the next digit 0 from dividend 11000 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}00\phantom{4}\\12\overline{)11000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 11000

$$\begin{array}{l}\phantom{12)}00\phantom{5}\\12\overline{)11000}\\\end{array}$$

Find closest multiple of 12 to 110. We see that 9 \times 12 = 108 is the nearest. Now subtract 108 from 110 to get reminder 2. Add 9 to quotient.

$$\begin{array}{l}\phantom{12)}009\phantom{6}\\12\overline{)11000}\\\phantom{12)}\underline{\phantom{}108\phantom{99}}\\\phantom{12)99}2\\\end{array}$$

Use the 4^{th} digit 0 from dividend 11000

$$\begin{array}{l}\phantom{12)}009\phantom{7}\\12\overline{)11000}\\\phantom{12)}\underline{\phantom{}108\phantom{99}}\\\phantom{12)99}20\\\end{array}$$

Find closest multiple of 12 to 20. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 20 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{12)}0091\phantom{8}\\12\overline{)11000}\\\phantom{12)}\underline{\phantom{}108\phantom{99}}\\\phantom{12)99}20\\\phantom{12)}\underline{\phantom{99}12\phantom{9}}\\\phantom{12)999}8\\\end{array}$$

Use the 5^{th} digit 0 from dividend 11000

$$\begin{array}{l}\phantom{12)}0091\phantom{9}\\12\overline{)11000}\\\phantom{12)}\underline{\phantom{}108\phantom{99}}\\\phantom{12)99}20\\\phantom{12)}\underline{\phantom{99}12\phantom{9}}\\\phantom{12)999}80\\\end{array}$$

Find closest multiple of 12 to 80. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 80 to get reminder 8. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}00916\phantom{10}\\12\overline{)11000}\\\phantom{12)}\underline{\phantom{}108\phantom{99}}\\\phantom{12)99}20\\\phantom{12)}\underline{\phantom{99}12\phantom{9}}\\\phantom{12)999}80\\\phantom{12)}\underline{\phantom{999}72\phantom{}}\\\phantom{12)9999}8\\\end{array}$$

Since 8 is less than 12, stop the division. The reminder is 8. The topmost line 00916 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 916.

$$\text{Quotient: }916 \text{Reminder: }8$$

Factor

$$\frac{2 \cdot 5 ^ {3} \cdot 11}{3} = 916\frac{2}{3} = 916.6666666666666$$