Solve 11011:1001

$$11011 : 1001$$

Evaluate

$$11$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11011

$$\begin{array}{l}\phantom{1001)}\phantom{1}\\1001\overline{)11011}\\\end{array}$$

Since 1 is less than 1001, use the next digit 1 from dividend 11011 and add 0 to the quotient

$$\begin{array}{l}\phantom{1001)}0\phantom{2}\\1001\overline{)11011}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11011

$$\begin{array}{l}\phantom{1001)}0\phantom{3}\\1001\overline{)11011}\\\end{array}$$

Since 11 is less than 1001, use the next digit 0 from dividend 11011 and add 0 to the quotient

$$\begin{array}{l}\phantom{1001)}00\phantom{4}\\1001\overline{)11011}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 11011

$$\begin{array}{l}\phantom{1001)}00\phantom{5}\\1001\overline{)11011}\\\end{array}$$

Since 110 is less than 1001, use the next digit 1 from dividend 11011 and add 0 to the quotient

$$\begin{array}{l}\phantom{1001)}000\phantom{6}\\1001\overline{)11011}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 11011

$$\begin{array}{l}\phantom{1001)}000\phantom{7}\\1001\overline{)11011}\\\end{array}$$

Find closest multiple of 1001 to 1101. We see that 1 \times 1001 = 1001 is the nearest. Now subtract 1001 from 1101 to get reminder 100. Add 1 to quotient.

$$\begin{array}{l}\phantom{1001)}0001\phantom{8}\\1001\overline{)11011}\\\phantom{1001)}\underline{\phantom{}1001\phantom{9}}\\\phantom{1001)9}100\\\end{array}$$

Use the 5^{th} digit 1 from dividend 11011

$$\begin{array}{l}\phantom{1001)}0001\phantom{9}\\1001\overline{)11011}\\\phantom{1001)}\underline{\phantom{}1001\phantom{9}}\\\phantom{1001)9}1001\\\end{array}$$

Find closest multiple of 1001 to 1001. We see that 1 \times 1001 = 1001 is the nearest. Now subtract 1001 from 1001 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{1001)}00011\phantom{10}\\1001\overline{)11011}\\\phantom{1001)}\underline{\phantom{}1001\phantom{9}}\\\phantom{1001)9}1001\\\phantom{1001)}\underline{\phantom{9}1001\phantom{}}\\\phantom{1001)99999}0\\\end{array}$$

Since 0 is less than 1001, stop the division. The reminder is 0. The topmost line 00011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }0$$

Factor

$$11$$