Solve 13720div56

$$13720 \div 56$$

Evaluate

$$245$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 13720

$$\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)13720}\\\end{array}$$

Since 1 is less than 56, use the next digit 3 from dividend 13720 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)13720}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 13720

$$\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)13720}\\\end{array}$$

Since 13 is less than 56, use the next digit 7 from dividend 13720 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)13720}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 13720

$$\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)13720}\\\end{array}$$

Find closest multiple of 56 to 137. We see that 2 \times 56 = 112 is the nearest. Now subtract 112 from 137 to get reminder 25. Add 2 to quotient.

$$\begin{array}{l}\phantom{56)}002\phantom{6}\\56\overline{)13720}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}25\\\end{array}$$

Use the 4^{th} digit 2 from dividend 13720

$$\begin{array}{l}\phantom{56)}002\phantom{7}\\56\overline{)13720}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}252\\\end{array}$$

Find closest multiple of 56 to 252. We see that 4 \times 56 = 224 is the nearest. Now subtract 224 from 252 to get reminder 28. Add 4 to quotient.

$$\begin{array}{l}\phantom{56)}0024\phantom{8}\\56\overline{)13720}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}252\\\phantom{56)}\underline{\phantom{9}224\phantom{9}}\\\phantom{56)99}28\\\end{array}$$

Use the 5^{th} digit 0 from dividend 13720

$$\begin{array}{l}\phantom{56)}0024\phantom{9}\\56\overline{)13720}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}252\\\phantom{56)}\underline{\phantom{9}224\phantom{9}}\\\phantom{56)99}280\\\end{array}$$

Find closest multiple of 56 to 280. We see that 5 \times 56 = 280 is the nearest. Now subtract 280 from 280 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{56)}00245\phantom{10}\\56\overline{)13720}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}252\\\phantom{56)}\underline{\phantom{9}224\phantom{9}}\\\phantom{56)99}280\\\phantom{56)}\underline{\phantom{99}280\phantom{}}\\\phantom{56)99999}0\\\end{array}$$

Since 0 is less than 56, stop the division. The reminder is 0. The topmost line 00245 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 245.

$$\text{Quotient: }245 \text{Reminder: }0$$

Factor

$$5\times 7^{2}$$