Solve 2524/45

$$\frac { 2524 } { 45 }$$

Evaluate

$$\frac{2524}{45}\approx 56.088888889$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2524

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)2524}\\\end{array}$$

Since 2 is less than 45, use the next digit 5 from dividend 2524 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)2524}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 2524

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)2524}\\\end{array}$$

Since 25 is less than 45, use the next digit 2 from dividend 2524 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)2524}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 2524

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)2524}\\\end{array}$$

Find closest multiple of 45 to 252. We see that 5 \times 45 = 225 is the nearest. Now subtract 225 from 252 to get reminder 27. Add 5 to quotient.

$$\begin{array}{l}\phantom{45)}005\phantom{6}\\45\overline{)2524}\\\phantom{45)}\underline{\phantom{}225\phantom{9}}\\\phantom{45)9}27\\\end{array}$$

Use the 4^{th} digit 4 from dividend 2524

$$\begin{array}{l}\phantom{45)}005\phantom{7}\\45\overline{)2524}\\\phantom{45)}\underline{\phantom{}225\phantom{9}}\\\phantom{45)9}274\\\end{array}$$

Find closest multiple of 45 to 274. We see that 6 \times 45 = 270 is the nearest. Now subtract 270 from 274 to get reminder 4. Add 6 to quotient.

$$\begin{array}{l}\phantom{45)}0056\phantom{8}\\45\overline{)2524}\\\phantom{45)}\underline{\phantom{}225\phantom{9}}\\\phantom{45)9}274\\\phantom{45)}\underline{\phantom{9}270\phantom{}}\\\phantom{45)999}4\\\end{array}$$

Since 4 is less than 45, stop the division. The reminder is 4. The topmost line 0056 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 56.

$$\text{Quotient: }56 \text{Reminder: }4$$

Factor

$$\frac{2 ^ {2} \cdot 631}{3 ^ {2} \cdot 5} = 56\frac{4}{45} = 56.08888888888889$$