Solve 2,407/45

$$\frac { 2,407 } { 45 }$$

Evaluate

$$\frac{2407}{45}\approx 53.488888889$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2407

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)2407}\\\end{array}$$

Since 2 is less than 45, use the next digit 4 from dividend 2407 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)2407}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 2407

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)2407}\\\end{array}$$

Since 24 is less than 45, use the next digit 0 from dividend 2407 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)2407}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2407

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)2407}\\\end{array}$$

Find closest multiple of 45 to 240. We see that 5 \times 45 = 225 is the nearest. Now subtract 225 from 240 to get reminder 15. Add 5 to quotient.

$$\begin{array}{l}\phantom{45)}005\phantom{6}\\45\overline{)2407}\\\phantom{45)}\underline{\phantom{}225\phantom{9}}\\\phantom{45)9}15\\\end{array}$$

Use the 4^{th} digit 7 from dividend 2407

$$\begin{array}{l}\phantom{45)}005\phantom{7}\\45\overline{)2407}\\\phantom{45)}\underline{\phantom{}225\phantom{9}}\\\phantom{45)9}157\\\end{array}$$

Find closest multiple of 45 to 157. We see that 3 \times 45 = 135 is the nearest. Now subtract 135 from 157 to get reminder 22. Add 3 to quotient.

$$\begin{array}{l}\phantom{45)}0053\phantom{8}\\45\overline{)2407}\\\phantom{45)}\underline{\phantom{}225\phantom{9}}\\\phantom{45)9}157\\\phantom{45)}\underline{\phantom{9}135\phantom{}}\\\phantom{45)99}22\\\end{array}$$

Since 22 is less than 45, stop the division. The reminder is 22. The topmost line 0053 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 53.

$$\text{Quotient: }53 \text{Reminder: }22$$

Factor

$$\frac{29 \cdot 83}{3 ^ {2} \cdot 5} = 53\frac{22}{45} = 53.48888888888889$$