Solve 563/37

$$563 / 37$$

Evaluate

$$\frac{563}{37}\approx 15.216216216$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 563

$$\begin{array}{l}\phantom{37)}\phantom{1}\\37\overline{)563}\\\end{array}$$

Since 5 is less than 37, use the next digit 6 from dividend 563 and add 0 to the quotient

$$\begin{array}{l}\phantom{37)}0\phantom{2}\\37\overline{)563}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 563

$$\begin{array}{l}\phantom{37)}0\phantom{3}\\37\overline{)563}\\\end{array}$$

Find closest multiple of 37 to 56. We see that 1 \times 37 = 37 is the nearest. Now subtract 37 from 56 to get reminder 19. Add 1 to quotient.

$$\begin{array}{l}\phantom{37)}01\phantom{4}\\37\overline{)563}\\\phantom{37)}\underline{\phantom{}37\phantom{9}}\\\phantom{37)}19\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 563

$$\begin{array}{l}\phantom{37)}01\phantom{5}\\37\overline{)563}\\\phantom{37)}\underline{\phantom{}37\phantom{9}}\\\phantom{37)}193\\\end{array}$$

Find closest multiple of 37 to 193. We see that 5 \times 37 = 185 is the nearest. Now subtract 185 from 193 to get reminder 8. Add 5 to quotient.

$$\begin{array}{l}\phantom{37)}015\phantom{6}\\37\overline{)563}\\\phantom{37)}\underline{\phantom{}37\phantom{9}}\\\phantom{37)}193\\\phantom{37)}\underline{\phantom{}185\phantom{}}\\\phantom{37)99}8\\\end{array}$$

Since 8 is less than 37, stop the division. The reminder is 8. The topmost line 015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.

$$\text{Quotient: }15 \text{Reminder: }8$$

Factor

$$\frac{563}{37} = 15\frac{8}{37} = 15.216216216216216$$