Solve 1969div13

$$1969 \div 13$$

Evaluate

$$\frac{1969}{13}\approx 151.461538462$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1969

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)1969}\\\end{array}$$

Since 1 is less than 13, use the next digit 9 from dividend 1969 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)1969}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1969

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)1969}\\\end{array}$$

Find closest multiple of 13 to 19. We see that 1 \times 13 = 13 is the nearest. Now subtract 13 from 19 to get reminder 6. Add 1 to quotient.

$$\begin{array}{l}\phantom{13)}01\phantom{4}\\13\overline{)1969}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}6\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1969

$$\begin{array}{l}\phantom{13)}01\phantom{5}\\13\overline{)1969}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}66\\\end{array}$$

Find closest multiple of 13 to 66. We see that 5 \times 13 = 65 is the nearest. Now subtract 65 from 66 to get reminder 1. Add 5 to quotient.

$$\begin{array}{l}\phantom{13)}015\phantom{6}\\13\overline{)1969}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}66\\\phantom{13)}\underline{\phantom{9}65\phantom{9}}\\\phantom{13)99}1\\\end{array}$$

Use the 4^{th} digit 9 from dividend 1969

$$\begin{array}{l}\phantom{13)}015\phantom{7}\\13\overline{)1969}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}66\\\phantom{13)}\underline{\phantom{9}65\phantom{9}}\\\phantom{13)99}19\\\end{array}$$

Find closest multiple of 13 to 19. We see that 1 \times 13 = 13 is the nearest. Now subtract 13 from 19 to get reminder 6. Add 1 to quotient.

$$\begin{array}{l}\phantom{13)}0151\phantom{8}\\13\overline{)1969}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}66\\\phantom{13)}\underline{\phantom{9}65\phantom{9}}\\\phantom{13)99}19\\\phantom{13)}\underline{\phantom{99}13\phantom{}}\\\phantom{13)999}6\\\end{array}$$

Since 6 is less than 13, stop the division. The reminder is 6. The topmost line 0151 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 151.

$$\text{Quotient: }151 \text{Reminder: }6$$

Factor

$$\frac{11 \cdot 179}{13} = 151\frac{6}{13} = 151.46153846153845$$