Solve 1332:11

$$1332 : 11$$

Evaluate

$$\frac{1332}{11}\approx 121.090909091$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1332

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)1332}\\\end{array}$$

Since 1 is less than 11, use the next digit 3 from dividend 1332 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)1332}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 1332

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)1332}\\\end{array}$$

Find closest multiple of 11 to 13. We see that 1 \times 11 = 11 is the nearest. Now subtract 11 from 13 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{11)}01\phantom{4}\\11\overline{)1332}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)9}2\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 1332

$$\begin{array}{l}\phantom{11)}01\phantom{5}\\11\overline{)1332}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)9}23\\\end{array}$$

Find closest multiple of 11 to 23. We see that 2 \times 11 = 22 is the nearest. Now subtract 22 from 23 to get reminder 1. Add 2 to quotient.

$$\begin{array}{l}\phantom{11)}012\phantom{6}\\11\overline{)1332}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)9}23\\\phantom{11)}\underline{\phantom{9}22\phantom{9}}\\\phantom{11)99}1\\\end{array}$$

Use the 4^{th} digit 2 from dividend 1332

$$\begin{array}{l}\phantom{11)}012\phantom{7}\\11\overline{)1332}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)9}23\\\phantom{11)}\underline{\phantom{9}22\phantom{9}}\\\phantom{11)99}12\\\end{array}$$

Find closest multiple of 11 to 12. We see that 1 \times 11 = 11 is the nearest. Now subtract 11 from 12 to get reminder 1. Add 1 to quotient.

$$\begin{array}{l}\phantom{11)}0121\phantom{8}\\11\overline{)1332}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)9}23\\\phantom{11)}\underline{\phantom{9}22\phantom{9}}\\\phantom{11)99}12\\\phantom{11)}\underline{\phantom{99}11\phantom{}}\\\phantom{11)999}1\\\end{array}$$

Since 1 is less than 11, stop the division. The reminder is 1. The topmost line 0121 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 121.

$$\text{Quotient: }121 \text{Reminder: }1$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 37}{11} = 121\frac{1}{11} = 121.0909090909091$$