Solve 48400div990

$$48400 \div 990$$

Evaluate

$$\frac{440}{9}\approx 48.888888889$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 48400

$$\begin{array}{l}\phantom{990)}\phantom{1}\\990\overline{)48400}\\\end{array}$$

Since 4 is less than 990, use the next digit 8 from dividend 48400 and add 0 to the quotient

$$\begin{array}{l}\phantom{990)}0\phantom{2}\\990\overline{)48400}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 48400

$$\begin{array}{l}\phantom{990)}0\phantom{3}\\990\overline{)48400}\\\end{array}$$

Since 48 is less than 990, use the next digit 4 from dividend 48400 and add 0 to the quotient

$$\begin{array}{l}\phantom{990)}00\phantom{4}\\990\overline{)48400}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 48400

$$\begin{array}{l}\phantom{990)}00\phantom{5}\\990\overline{)48400}\\\end{array}$$

Since 484 is less than 990, use the next digit 0 from dividend 48400 and add 0 to the quotient

$$\begin{array}{l}\phantom{990)}000\phantom{6}\\990\overline{)48400}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 48400

$$\begin{array}{l}\phantom{990)}000\phantom{7}\\990\overline{)48400}\\\end{array}$$

Find closest multiple of 990 to 4840. We see that 4 \times 990 = 3960 is the nearest. Now subtract 3960 from 4840 to get reminder 880. Add 4 to quotient.

$$\begin{array}{l}\phantom{990)}0004\phantom{8}\\990\overline{)48400}\\\phantom{990)}\underline{\phantom{}3960\phantom{9}}\\\phantom{990)9}880\\\end{array}$$

Use the 5^{th} digit 0 from dividend 48400

$$\begin{array}{l}\phantom{990)}0004\phantom{9}\\990\overline{)48400}\\\phantom{990)}\underline{\phantom{}3960\phantom{9}}\\\phantom{990)9}8800\\\end{array}$$

Find closest multiple of 990 to 8800. We see that 8 \times 990 = 7920 is the nearest. Now subtract 7920 from 8800 to get reminder 880. Add 8 to quotient.

$$\begin{array}{l}\phantom{990)}00048\phantom{10}\\990\overline{)48400}\\\phantom{990)}\underline{\phantom{}3960\phantom{9}}\\\phantom{990)9}8800\\\phantom{990)}\underline{\phantom{9}7920\phantom{}}\\\phantom{990)99}880\\\end{array}$$

Since 880 is less than 990, stop the division. The reminder is 880. The topmost line 00048 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 48.

$$\text{Quotient: }48 \text{Reminder: }880$$

Factor

$$\frac{2 ^ {3} \cdot 5 \cdot 11}{3 ^ {2}} = 48\frac{8}{9} = 48.888888888888886$$