Solve 3500div90

$$3500 \div 90$$

Evaluate

$$\frac{350}{9}\approx 38.888888889$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3500

$$\begin{array}{l}\phantom{90)}\phantom{1}\\90\overline{)3500}\\\end{array}$$

Since 3 is less than 90, use the next digit 5 from dividend 3500 and add 0 to the quotient

$$\begin{array}{l}\phantom{90)}0\phantom{2}\\90\overline{)3500}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 3500

$$\begin{array}{l}\phantom{90)}0\phantom{3}\\90\overline{)3500}\\\end{array}$$

Since 35 is less than 90, use the next digit 0 from dividend 3500 and add 0 to the quotient

$$\begin{array}{l}\phantom{90)}00\phantom{4}\\90\overline{)3500}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3500

$$\begin{array}{l}\phantom{90)}00\phantom{5}\\90\overline{)3500}\\\end{array}$$

Find closest multiple of 90 to 350. We see that 3 \times 90 = 270 is the nearest. Now subtract 270 from 350 to get reminder 80. Add 3 to quotient.

$$\begin{array}{l}\phantom{90)}003\phantom{6}\\90\overline{)3500}\\\phantom{90)}\underline{\phantom{}270\phantom{9}}\\\phantom{90)9}80\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3500

$$\begin{array}{l}\phantom{90)}003\phantom{7}\\90\overline{)3500}\\\phantom{90)}\underline{\phantom{}270\phantom{9}}\\\phantom{90)9}800\\\end{array}$$

Find closest multiple of 90 to 800. We see that 8 \times 90 = 720 is the nearest. Now subtract 720 from 800 to get reminder 80. Add 8 to quotient.

$$\begin{array}{l}\phantom{90)}0038\phantom{8}\\90\overline{)3500}\\\phantom{90)}\underline{\phantom{}270\phantom{9}}\\\phantom{90)9}800\\\phantom{90)}\underline{\phantom{9}720\phantom{}}\\\phantom{90)99}80\\\end{array}$$

Since 80 is less than 90, stop the division. The reminder is 80. The topmost line 0038 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 38.

$$\text{Quotient: }38 \text{Reminder: }80$$

Factor

$$\frac{2 \cdot 5 ^ {2} \cdot 7}{3 ^ {2}} = 38\frac{8}{9} = 38.888888888888886$$