Solve 566/13

$$\frac { 566 } { 13 }$$

Evaluate

$$\frac{566}{13}\approx 43.538461538$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 566

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)566}\\\end{array}$$

Since 5 is less than 13, use the next digit 6 from dividend 566 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)566}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 566

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)566}\\\end{array}$$

Find closest multiple of 13 to 56. We see that 4 \times 13 = 52 is the nearest. Now subtract 52 from 56 to get reminder 4. Add 4 to quotient.

$$\begin{array}{l}\phantom{13)}04\phantom{4}\\13\overline{)566}\\\phantom{13)}\underline{\phantom{}52\phantom{9}}\\\phantom{13)9}4\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 566

$$\begin{array}{l}\phantom{13)}04\phantom{5}\\13\overline{)566}\\\phantom{13)}\underline{\phantom{}52\phantom{9}}\\\phantom{13)9}46\\\end{array}$$

Find closest multiple of 13 to 46. We see that 3 \times 13 = 39 is the nearest. Now subtract 39 from 46 to get reminder 7. Add 3 to quotient.

$$\begin{array}{l}\phantom{13)}043\phantom{6}\\13\overline{)566}\\\phantom{13)}\underline{\phantom{}52\phantom{9}}\\\phantom{13)9}46\\\phantom{13)}\underline{\phantom{9}39\phantom{}}\\\phantom{13)99}7\\\end{array}$$

Since 7 is less than 13, stop the division. The reminder is 7. The topmost line 043 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 43.

$$\text{Quotient: }43 \text{Reminder: }7$$

Factor

$$\frac{2 \cdot 283}{13} = 43\frac{7}{13} = 43.53846153846154$$