Solve 2745div32

$$2745 \div 32$$

Evaluate

$$\frac{2745}{32}=85.78125$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2745

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)2745}\\\end{array}$$

Since 2 is less than 32, use the next digit 7 from dividend 2745 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)2745}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 2745

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)2745}\\\end{array}$$

Since 27 is less than 32, use the next digit 4 from dividend 2745 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}00\phantom{4}\\32\overline{)2745}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 2745

$$\begin{array}{l}\phantom{32)}00\phantom{5}\\32\overline{)2745}\\\end{array}$$

Find closest multiple of 32 to 274. We see that 8 \times 32 = 256 is the nearest. Now subtract 256 from 274 to get reminder 18. Add 8 to quotient.

$$\begin{array}{l}\phantom{32)}008\phantom{6}\\32\overline{)2745}\\\phantom{32)}\underline{\phantom{}256\phantom{9}}\\\phantom{32)9}18\\\end{array}$$

Use the 4^{th} digit 5 from dividend 2745

$$\begin{array}{l}\phantom{32)}008\phantom{7}\\32\overline{)2745}\\\phantom{32)}\underline{\phantom{}256\phantom{9}}\\\phantom{32)9}185\\\end{array}$$

Find closest multiple of 32 to 185. We see that 5 \times 32 = 160 is the nearest. Now subtract 160 from 185 to get reminder 25. Add 5 to quotient.

$$\begin{array}{l}\phantom{32)}0085\phantom{8}\\32\overline{)2745}\\\phantom{32)}\underline{\phantom{}256\phantom{9}}\\\phantom{32)9}185\\\phantom{32)}\underline{\phantom{9}160\phantom{}}\\\phantom{32)99}25\\\end{array}$$

Since 25 is less than 32, stop the division. The reminder is 25. The topmost line 0085 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 85.

$$\text{Quotient: }85 \text{Reminder: }25$$

Factor

$$\frac{3 ^ {2} \cdot 5 \cdot 61}{2 ^ {5}} = 85\frac{25}{32} = 85.78125$$