Solve 155div11

$$155 \div 11$$

Evaluate

$$\frac{155}{11}\approx 14.090909091$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 155

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)155}\\\end{array}$$

Since 1 is less than 11, use the next digit 5 from dividend 155 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)155}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 155

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)155}\\\end{array}$$

Find closest multiple of 11 to 15. We see that 1 \times 11 = 11 is the nearest. Now subtract 11 from 15 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{11)}01\phantom{4}\\11\overline{)155}\\\phantom{11)}\underline{\phantom{}11\phantom{9}}\\\phantom{11)9}4\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 155

$$\begin{array}{l}\phantom{11)}01\phantom{5}\\11\overline{)155}\\\phantom{11)}\underline{\phantom{}11\phantom{9}}\\\phantom{11)9}45\\\end{array}$$

Find closest multiple of 11 to 45. We see that 4 \times 11 = 44 is the nearest. Now subtract 44 from 45 to get reminder 1. Add 4 to quotient.

$$\begin{array}{l}\phantom{11)}014\phantom{6}\\11\overline{)155}\\\phantom{11)}\underline{\phantom{}11\phantom{9}}\\\phantom{11)9}45\\\phantom{11)}\underline{\phantom{9}44\phantom{}}\\\phantom{11)99}1\\\end{array}$$

Since 1 is less than 11, stop the division. The reminder is 1. The topmost line 014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }1$$

Factor

$$\frac{5 \cdot 31}{11} = 14\frac{1}{11} = 14.090909090909092$$