Solve 1344:56

$$1344 : 56$$

Evaluate

$$24$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1344

$$\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)1344}\\\end{array}$$

Since 1 is less than 56, use the next digit 3 from dividend 1344 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)1344}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 1344

$$\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)1344}\\\end{array}$$

Since 13 is less than 56, use the next digit 4 from dividend 1344 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)1344}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 1344

$$\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)1344}\\\end{array}$$

Find closest multiple of 56 to 134. We see that 2 \times 56 = 112 is the nearest. Now subtract 112 from 134 to get reminder 22. Add 2 to quotient.

$$\begin{array}{l}\phantom{56)}002\phantom{6}\\56\overline{)1344}\\\phantom{56)}\underline{\phantom{}112\phantom{9}}\\\phantom{56)9}22\\\end{array}$$

Use the 4^{th} digit 4 from dividend 1344

$$\begin{array}{l}\phantom{56)}002\phantom{7}\\56\overline{)1344}\\\phantom{56)}\underline{\phantom{}112\phantom{9}}\\\phantom{56)9}224\\\end{array}$$

Find closest multiple of 56 to 224. We see that 4 \times 56 = 224 is the nearest. Now subtract 224 from 224 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{56)}0024\phantom{8}\\56\overline{)1344}\\\phantom{56)}\underline{\phantom{}112\phantom{9}}\\\phantom{56)9}224\\\phantom{56)}\underline{\phantom{9}224\phantom{}}\\\phantom{56)9999}0\\\end{array}$$

Since 0 is less than 56, stop the division. The reminder is 0. The topmost line 0024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.

$$\text{Quotient: }24 \text{Reminder: }0$$

Factor

$$2^{3}\times 3$$