Solve 3500div45

$$3500 \div 45$$

Evaluate

$$\frac{700}{9}\approx 77.777777778$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)3500}\\\end{array}$$

Since 3 is less than 45, use the next digit 5 from dividend 3500 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)3500}\\\end{array}$$

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

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)3500}\\\end{array}$$

Since 35 is less than 45, use the next digit 0 from dividend 3500 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)3500}\\\end{array}$$

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

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)3500}\\\end{array}$$

Find closest multiple of 45 to 350. We see that 7 \times 45 = 315 is the nearest. Now subtract 315 from 350 to get reminder 35. Add 7 to quotient.

$$\begin{array}{l}\phantom{45)}007\phantom{6}\\45\overline{)3500}\\\phantom{45)}\underline{\phantom{}315\phantom{9}}\\\phantom{45)9}35\\\end{array}$$

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

$$\begin{array}{l}\phantom{45)}007\phantom{7}\\45\overline{)3500}\\\phantom{45)}\underline{\phantom{}315\phantom{9}}\\\phantom{45)9}350\\\end{array}$$

Find closest multiple of 45 to 350. We see that 7 \times 45 = 315 is the nearest. Now subtract 315 from 350 to get reminder 35. Add 7 to quotient.

$$\begin{array}{l}\phantom{45)}0077\phantom{8}\\45\overline{)3500}\\\phantom{45)}\underline{\phantom{}315\phantom{9}}\\\phantom{45)9}350\\\phantom{45)}\underline{\phantom{9}315\phantom{}}\\\phantom{45)99}35\\\end{array}$$

Since 35 is less than 45, stop the division. The reminder is 35. The topmost line 0077 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 77.

$$\text{Quotient: }77 \text{Reminder: }35$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 7}{3 ^ {2}} = 77\frac{7}{9} = 77.77777777777777$$