In the last article, we learn to divide three and four digit numbers with two digit numbers near base. In this article, we shall continue to discuss it further to divide bigger numbers by more than two digit number near base.

Procedure is the same as mentioned in the previous article. Please check that for more details about formula.

In below examples, we have deliberately taken 'divisior' of big digits to understand the concept.

Here p = 10000-8897 = 1103

1 | 2345

| 1103 (p x a)

1 | 3448

Quotient = 1 and Remainder = 3448

Here p = 10000-7999 = 2001

5 | 1235

|10005 (p x a)

5 |11240 (Here, remainder is greater than the divisor. Add 1 to quotient i.e. 5+1=6 and

subtract divisor from remainder i.e.(11240-7999=3241))

6 | 3241

Quotient = 6 and Remainder = 3241

Here p = 1000-882 = 112, and a = 1

12 | 345

1 | 12 (p x a)

| 336 (p x (b+e))

13 | 801

Quotient = 13, Remainder = 801

Here p = 1000000-89998 = 10002

20 | 02002

2 | 0004 (p x a)

| 20004 (p x (b+e))

22 | 22046

Quotient = 22 and Remainder = 22046

Here p = 100-88 = 12

110 | 01

12 | (p x a = 12 x 1 = 12)

2 | 4 (p x (b+e) = 12 x (1+1) = 24)

| 48 (p x (c+f+g) = 12 x (0+2+2) = 48)

124 | 89 (Remainder greater than divisor)

125 | 1

Quotient = 125 and Remainder = 1

Here p = 1000000-99979 = 00021

111 | 11111

00 | 021

0 | 0021

| 00021

111 | 13442

Quotient = 111, Remainder = 13442

1. How to split:

(i) Check for number of digits in divisor.

(ii) Split the dividend (from right) with same number of digits

2. Which procedure to apply:

(i) When left section of the number (after split) has one digit (refer to example no. 1 & 2)

In this case, we apply "Dividing three digit numbers by any two digit numbers" (discussed in last article)

(ii)When left section of the number (after split) has two and more digits (refer to example no. 3, 4, 5 & 6)

In this case, we apply "Dividing four digit numbers by any two digit numbers" (discussed in last article)

Procedure is the same as mentioned in the previous article. Please check that for more details about formula.

In below examples, we have deliberately taken 'divisior' of big digits to understand the concept.

**12345 divided by 8897**Here p = 10000-8897 = 1103

1 | 2345

| 1103 (p x a)

1 | 3448

Quotient = 1 and Remainder = 3448

**51235 divided by 7999**Here p = 10000-7999 = 2001

5 | 1235

|10005 (p x a)

5 |11240 (Here, remainder is greater than the divisor. Add 1 to quotient i.e. 5+1=6 and

subtract divisor from remainder i.e.(11240-7999=3241))

6 | 3241

Quotient = 6 and Remainder = 3241

**12345 divided by 882**Here p = 1000-882 = 112, and a = 1

12 | 345

1 | 12 (p x a)

| 336 (p x (b+e))

13 | 801

Quotient = 13, Remainder = 801

**2002002 divided by 89998**Here p = 1000000-89998 = 10002

20 | 02002

2 | 0004 (p x a)

| 20004 (p x (b+e))

22 | 22046

Quotient = 22 and Remainder = 22046

**11001 divided by 88**Here p = 100-88 = 12

110 | 01

12 | (p x a = 12 x 1 = 12)

2 | 4 (p x (b+e) = 12 x (1+1) = 24)

| 48 (p x (c+f+g) = 12 x (0+2+2) = 48)

124 | 89 (Remainder greater than divisor)

125 | 1

Quotient = 125 and Remainder = 1

**11111111 divided by 99979**Here p = 1000000-99979 = 00021

111 | 11111

00 | 021

0 | 0021

| 00021

111 | 13442

Quotient = 111, Remainder = 13442

**IMPORTANT POINTS TO REMEMBER :**1. How to split:

(i) Check for number of digits in divisor.

(ii) Split the dividend (from right) with same number of digits

2. Which procedure to apply:

(i) When left section of the number (after split) has one digit (refer to example no. 1 & 2)

In this case, we apply "Dividing three digit numbers by any two digit numbers" (discussed in last article)

(ii)When left section of the number (after split) has two and more digits (refer to example no. 3, 4, 5 & 6)

In this case, we apply "Dividing four digit numbers by any two digit numbers" (discussed in last article)