Solve 14504div56

$$14504 \div 56$$

Evaluate

$$259$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 14504

$$\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)14504}\\\end{array}$$

Since 1 is less than 56, use the next digit 4 from dividend 14504 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)14504}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 14504

$$\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)14504}\\\end{array}$$

Since 14 is less than 56, use the next digit 5 from dividend 14504 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)14504}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 14504

$$\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)14504}\\\end{array}$$

Find closest multiple of 56 to 145. We see that 2 \times 56 = 112 is the nearest. Now subtract 112 from 145 to get reminder 33. Add 2 to quotient.

$$\begin{array}{l}\phantom{56)}002\phantom{6}\\56\overline{)14504}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}33\\\end{array}$$

Use the 4^{th} digit 0 from dividend 14504

$$\begin{array}{l}\phantom{56)}002\phantom{7}\\56\overline{)14504}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}330\\\end{array}$$

Find closest multiple of 56 to 330. We see that 5 \times 56 = 280 is the nearest. Now subtract 280 from 330 to get reminder 50. Add 5 to quotient.

$$\begin{array}{l}\phantom{56)}0025\phantom{8}\\56\overline{)14504}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}330\\\phantom{56)}\underline{\phantom{9}280\phantom{9}}\\\phantom{56)99}50\\\end{array}$$

Use the 5^{th} digit 4 from dividend 14504

$$\begin{array}{l}\phantom{56)}0025\phantom{9}\\56\overline{)14504}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}330\\\phantom{56)}\underline{\phantom{9}280\phantom{9}}\\\phantom{56)99}504\\\end{array}$$

Find closest multiple of 56 to 504. We see that 9 \times 56 = 504 is the nearest. Now subtract 504 from 504 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{56)}00259\phantom{10}\\56\overline{)14504}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}330\\\phantom{56)}\underline{\phantom{9}280\phantom{9}}\\\phantom{56)99}504\\\phantom{56)}\underline{\phantom{99}504\phantom{}}\\\phantom{56)99999}0\\\end{array}$$

Since 0 is less than 56, stop the division. The reminder is 0. The topmost line 00259 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 259.

$$\text{Quotient: }259 \text{Reminder: }0$$

Factor

$$7\times 37$$