Solve 17248div56

$$17248 \div 56$$

Evaluate

$$308$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 17248

$$\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)17248}\\\end{array}$$

Since 1 is less than 56, use the next digit 7 from dividend 17248 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)17248}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 17248

$$\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)17248}\\\end{array}$$

Since 17 is less than 56, use the next digit 2 from dividend 17248 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)17248}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 17248

$$\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)17248}\\\end{array}$$

Find closest multiple of 56 to 172. We see that 3 \times 56 = 168 is the nearest. Now subtract 168 from 172 to get reminder 4. Add 3 to quotient.

$$\begin{array}{l}\phantom{56)}003\phantom{6}\\56\overline{)17248}\\\phantom{56)}\underline{\phantom{}168\phantom{99}}\\\phantom{56)99}4\\\end{array}$$

Use the 4^{th} digit 4 from dividend 17248

$$\begin{array}{l}\phantom{56)}003\phantom{7}\\56\overline{)17248}\\\phantom{56)}\underline{\phantom{}168\phantom{99}}\\\phantom{56)99}44\\\end{array}$$

Since 44 is less than 56, use the next digit 8 from dividend 17248 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}0030\phantom{8}\\56\overline{)17248}\\\phantom{56)}\underline{\phantom{}168\phantom{99}}\\\phantom{56)99}44\\\end{array}$$

Use the 5^{th} digit 8 from dividend 17248

$$\begin{array}{l}\phantom{56)}0030\phantom{9}\\56\overline{)17248}\\\phantom{56)}\underline{\phantom{}168\phantom{99}}\\\phantom{56)99}448\\\end{array}$$

Find closest multiple of 56 to 448. We see that 8 \times 56 = 448 is the nearest. Now subtract 448 from 448 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{56)}00308\phantom{10}\\56\overline{)17248}\\\phantom{56)}\underline{\phantom{}168\phantom{99}}\\\phantom{56)99}448\\\phantom{56)}\underline{\phantom{99}448\phantom{}}\\\phantom{56)99999}0\\\end{array}$$

Since 0 is less than 56, stop the division. The reminder is 0. The topmost line 00308 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 308.

$$\text{Quotient: }308 \text{Reminder: }0$$

Factor

$$2^{2}\times 7\times 11$$