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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 752 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.90962 ÷ 89 =
  2. 2.670983 ÷ 988 =
  3. 3.24608 ÷ 98 =
  4. 4.4911 ÷ 96 =
  5. 5.90979 ÷ 96 =
  6. 6.52598 ÷ 88 =
  7. 7.29033 ÷ 88 =
  8. 8.237110 ÷ 897 =
  9. 9.44182 ÷ 96 =
  10. 10.257 ÷ 8 =
  11. 11.379632 ÷ 998 =
  12. 12.200565 ÷ 897 =
  13. 13.4993 ÷ 8 =
  14. 14.1281 ÷ 8 =
  15. 15.57661 ÷ 98 =
  16. 16.615048 ÷ 989 =
  17. 17.91159 ÷ 88 =
  18. 18.4677 ÷ 8 =
  19. 19.67326 ÷ 97 =
  20. 20.500311 ÷ 897 =
  21. 21.647534 ÷ 988 =
  22. 22.1039 ÷ 96 =
  23. 23.56588 ÷ 89 =
  24. 24.40968 ÷ 97 =
  25. 25.740127 ÷ 988 =
  26. 26.8595 ÷ 8 =
  27. 27.42580 ÷ 88 =
  28. 28.88306 ÷ 97 =
  29. 29.23401 ÷ 88 =
  30. 30.1246 ÷ 8 =
  31. 31.2247 ÷ 89 =
  32. 32.598 ÷ 8 =
  33. 33.18146 ÷ 96 =
  34. 34.468797 ÷ 897 =
  35. 35.68726 ÷ 897 =
  36. 36.71984 ÷ 98 =
  37. 37.321227 ÷ 998 =
  38. 38.706609 ÷ 989 =
  39. 39.230695 ÷ 989 =
  40. 40.18400 ÷ 97 =

Answer key

  1. 1022 rem 4
  2. 679 rem 131
  3. 251 rem 10
  4. 51 rem 15
  5. 947 rem 67
  6. 597 rem 62
  7. 329 rem 81
  8. 264 rem 302
  9. 460 rem 22
  10. 32 rem 1
  11. 380 rem 392
  12. 223 rem 534
  13. 624 rem 1
  14. 160 rem 1
  15. 588 rem 37
  16. 621 rem 879
  17. 1035 rem 79
  18. 584 rem 5
  19. 694 rem 8
  20. 557 rem 682
  21. 655 rem 394
  22. 10 rem 79
  23. 635 rem 73
  24. 422 rem 34
  25. 749 rem 115
  26. 1074 rem 3
  27. 483 rem 76
  28. 910 rem 36
  29. 265 rem 81
  30. 155 rem 6
  31. 25 rem 22
  32. 74 rem 6
  33. 189 rem 2
  34. 522 rem 563
  35. 76 rem 554
  36. 734 rem 52
  37. 321 rem 869
  38. 714 rem 463
  39. 233 rem 258
  40. 189 rem 67

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