Solve 35900div48

$$35900 \div 48$$

Evaluate

$$\frac{8975}{12}\approx 747.916666667$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 35900

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)35900}\\\end{array}$$

Since 3 is less than 48, use the next digit 5 from dividend 35900 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)35900}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 35900

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)35900}\\\end{array}$$

Since 35 is less than 48, use the next digit 9 from dividend 35900 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}00\phantom{4}\\48\overline{)35900}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 35900

$$\begin{array}{l}\phantom{48)}00\phantom{5}\\48\overline{)35900}\\\end{array}$$

Find closest multiple of 48 to 359. We see that 7 \times 48 = 336 is the nearest. Now subtract 336 from 359 to get reminder 23. Add 7 to quotient.

$$\begin{array}{l}\phantom{48)}007\phantom{6}\\48\overline{)35900}\\\phantom{48)}\underline{\phantom{}336\phantom{99}}\\\phantom{48)9}23\\\end{array}$$

Use the 4^{th} digit 0 from dividend 35900

$$\begin{array}{l}\phantom{48)}007\phantom{7}\\48\overline{)35900}\\\phantom{48)}\underline{\phantom{}336\phantom{99}}\\\phantom{48)9}230\\\end{array}$$

Find closest multiple of 48 to 230. We see that 4 \times 48 = 192 is the nearest. Now subtract 192 from 230 to get reminder 38. Add 4 to quotient.

$$\begin{array}{l}\phantom{48)}0074\phantom{8}\\48\overline{)35900}\\\phantom{48)}\underline{\phantom{}336\phantom{99}}\\\phantom{48)9}230\\\phantom{48)}\underline{\phantom{9}192\phantom{9}}\\\phantom{48)99}38\\\end{array}$$

Use the 5^{th} digit 0 from dividend 35900

$$\begin{array}{l}\phantom{48)}0074\phantom{9}\\48\overline{)35900}\\\phantom{48)}\underline{\phantom{}336\phantom{99}}\\\phantom{48)9}230\\\phantom{48)}\underline{\phantom{9}192\phantom{9}}\\\phantom{48)99}380\\\end{array}$$

Find closest multiple of 48 to 380. We see that 7 \times 48 = 336 is the nearest. Now subtract 336 from 380 to get reminder 44. Add 7 to quotient.

$$\begin{array}{l}\phantom{48)}00747\phantom{10}\\48\overline{)35900}\\\phantom{48)}\underline{\phantom{}336\phantom{99}}\\\phantom{48)9}230\\\phantom{48)}\underline{\phantom{9}192\phantom{9}}\\\phantom{48)99}380\\\phantom{48)}\underline{\phantom{99}336\phantom{}}\\\phantom{48)999}44\\\end{array}$$

Since 44 is less than 48, stop the division. The reminder is 44. The topmost line 00747 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 747.

$$\text{Quotient: }747 \text{Reminder: }44$$

Factor

$$\frac{5 ^ {2} \cdot 359}{2 ^ {2} \cdot 3} = 747\frac{11}{12} = 747.9166666666666$$