Solve 155div13

$$155 \div 13$$

Evaluate

$$\frac{155}{13}\approx 11.923076923$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)155}\\\end{array}$$

Since 1 is less than 13, use the next digit 5 from dividend 155 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)155}\\\end{array}$$

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

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)155}\\\end{array}$$

Find closest multiple of 13 to 15. We see that 1 \times 13 = 13 is the nearest. Now subtract 13 from 15 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{13)}01\phantom{4}\\13\overline{)155}\\\phantom{13)}\underline{\phantom{}13\phantom{9}}\\\phantom{13)9}2\\\end{array}$$

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

$$\begin{array}{l}\phantom{13)}01\phantom{5}\\13\overline{)155}\\\phantom{13)}\underline{\phantom{}13\phantom{9}}\\\phantom{13)9}25\\\end{array}$$

Find closest multiple of 13 to 25. We see that 1 \times 13 = 13 is the nearest. Now subtract 13 from 25 to get reminder 12. Add 1 to quotient.

$$\begin{array}{l}\phantom{13)}011\phantom{6}\\13\overline{)155}\\\phantom{13)}\underline{\phantom{}13\phantom{9}}\\\phantom{13)9}25\\\phantom{13)}\underline{\phantom{9}13\phantom{}}\\\phantom{13)9}12\\\end{array}$$

Since 12 is less than 13, stop the division. The reminder is 12. The topmost line 011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }12$$

Factor

$$\frac{5 \cdot 31}{13} = 11\frac{12}{13} = 11.923076923076923$$