Solve 2020div13

$$2020 \div 13$$

Evaluate

$$\frac{2020}{13}\approx 155.384615385$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2020

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)2020}\\\end{array}$$

Since 2 is less than 13, use the next digit 0 from dividend 2020 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)2020}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2020

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)2020}\\\end{array}$$

Find closest multiple of 13 to 20. We see that 1 \times 13 = 13 is the nearest. Now subtract 13 from 20 to get reminder 7. Add 1 to quotient.

$$\begin{array}{l}\phantom{13)}01\phantom{4}\\13\overline{)2020}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}7\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 2020

$$\begin{array}{l}\phantom{13)}01\phantom{5}\\13\overline{)2020}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}72\\\end{array}$$

Find closest multiple of 13 to 72. We see that 5 \times 13 = 65 is the nearest. Now subtract 65 from 72 to get reminder 7. Add 5 to quotient.

$$\begin{array}{l}\phantom{13)}015\phantom{6}\\13\overline{)2020}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}72\\\phantom{13)}\underline{\phantom{9}65\phantom{9}}\\\phantom{13)99}7\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2020

$$\begin{array}{l}\phantom{13)}015\phantom{7}\\13\overline{)2020}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}72\\\phantom{13)}\underline{\phantom{9}65\phantom{9}}\\\phantom{13)99}70\\\end{array}$$

Find closest multiple of 13 to 70. We see that 5 \times 13 = 65 is the nearest. Now subtract 65 from 70 to get reminder 5. Add 5 to quotient.

$$\begin{array}{l}\phantom{13)}0155\phantom{8}\\13\overline{)2020}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}72\\\phantom{13)}\underline{\phantom{9}65\phantom{9}}\\\phantom{13)99}70\\\phantom{13)}\underline{\phantom{99}65\phantom{}}\\\phantom{13)999}5\\\end{array}$$

Since 5 is less than 13, stop the division. The reminder is 5. The topmost line 0155 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 155.

$$\text{Quotient: }155 \text{Reminder: }5$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 101}{13} = 155\frac{5}{13} = 155.3846153846154$$