Solve 616div32

$$616 \div 32$$

Evaluate

$$\frac{77}{4}=19.25$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 616

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)616}\\\end{array}$$

Since 6 is less than 32, use the next digit 1 from dividend 616 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)616}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 616

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)616}\\\end{array}$$

Find closest multiple of 32 to 61. We see that 1 \times 32 = 32 is the nearest. Now subtract 32 from 61 to get reminder 29. Add 1 to quotient.

$$\begin{array}{l}\phantom{32)}01\phantom{4}\\32\overline{)616}\\\phantom{32)}\underline{\phantom{}32\phantom{9}}\\\phantom{32)}29\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 616

$$\begin{array}{l}\phantom{32)}01\phantom{5}\\32\overline{)616}\\\phantom{32)}\underline{\phantom{}32\phantom{9}}\\\phantom{32)}296\\\end{array}$$

Find closest multiple of 32 to 296. We see that 9 \times 32 = 288 is the nearest. Now subtract 288 from 296 to get reminder 8. Add 9 to quotient.

$$\begin{array}{l}\phantom{32)}019\phantom{6}\\32\overline{)616}\\\phantom{32)}\underline{\phantom{}32\phantom{9}}\\\phantom{32)}296\\\phantom{32)}\underline{\phantom{}288\phantom{}}\\\phantom{32)99}8\\\end{array}$$

Since 8 is less than 32, stop the division. The reminder is 8. The topmost line 019 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19.

$$\text{Quotient: }19 \text{Reminder: }8$$

Factor

$$\frac{7 \cdot 11}{2 ^ {2}} = 19\frac{1}{4} = 19.25$$