Solve 1111/11

$$\frac{ 1111 }{ 11 }$$

Evaluate

$$101$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1111

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)1111}\\\end{array}$$

Since 1 is less than 11, use the next digit 1 from dividend 1111 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)1111}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1111

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)1111}\\\end{array}$$

Find closest multiple of 11 to 11. We see that 1 \times 11 = 11 is the nearest. Now subtract 11 from 11 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{11)}01\phantom{4}\\11\overline{)1111}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)99}0\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 1111

$$\begin{array}{l}\phantom{11)}01\phantom{5}\\11\overline{)1111}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)99}1\\\end{array}$$

Since 1 is less than 11, use the next digit 1 from dividend 1111 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}010\phantom{6}\\11\overline{)1111}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)99}1\\\end{array}$$

Use the 4^{th} digit 1 from dividend 1111

$$\begin{array}{l}\phantom{11)}010\phantom{7}\\11\overline{)1111}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)99}11\\\end{array}$$

Find closest multiple of 11 to 11. We see that 1 \times 11 = 11 is the nearest. Now subtract 11 from 11 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{11)}0101\phantom{8}\\11\overline{)1111}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)99}11\\\phantom{11)}\underline{\phantom{99}11\phantom{}}\\\phantom{11)9999}0\\\end{array}$$

Since 0 is less than 11, stop the division. The reminder is 0. The topmost line 0101 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 101.

$$\text{Quotient: }101 \text{Reminder: }0$$

Factor

$$101$$