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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 630 · 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. 1.739666 ÷ 989 =
  2. 2.271222 ÷ 988 =
  3. 3.47154 ÷ 96 =
  4. 4.33905 ÷ 97 =
  5. 5.67122 ÷ 89 =
  6. 6.35335 ÷ 97 =
  7. 7.734754 ÷ 998 =
  8. 8.87011 ÷ 89 =
  9. 9.33745 ÷ 988 =
  10. 10.951815 ÷ 988 =
  11. 11.1428 ÷ 8 =
  12. 12.918522 ÷ 998 =
  13. 13.9117 ÷ 8 =
  14. 14.3065 ÷ 8 =
  15. 15.12618 ÷ 988 =
  16. 16.65494 ÷ 96 =
  17. 17.85117 ÷ 96 =
  18. 18.8819 ÷ 8 =
  19. 19.791250 ÷ 997 =
  20. 20.882442 ÷ 989 =
  21. 21.801636 ÷ 897 =
  22. 22.26367 ÷ 89 =
  23. 23.68280 ÷ 97 =
  24. 24.636498 ÷ 998 =
  25. 25.45750 ÷ 88 =
  26. 26.24329 ÷ 96 =
  27. 27.30016 ÷ 97 =
  28. 28.857009 ÷ 988 =
  29. 29.52493 ÷ 98 =
  30. 30.469716 ÷ 897 =
  31. 31.411641 ÷ 988 =
  32. 32.27729 ÷ 89 =
  33. 33.8928 ÷ 96 =
  34. 34.95040 ÷ 97 =
  35. 35.9475 ÷ 8 =
  36. 36.62631 ÷ 897 =
  37. 37.581144 ÷ 997 =
  38. 38.54580 ÷ 98 =
  39. 39.96212 ÷ 98 =
  40. 40.98475 ÷ 897 =

Answer key

  1. 747 rem 883
  2. 274 rem 510
  3. 491 rem 18
  4. 349 rem 52
  5. 754 rem 16
  6. 364 rem 27
  7. 736 rem 226
  8. 977 rem 58
  9. 34 rem 153
  10. 963 rem 371
  11. 178 rem 4
  12. 920 rem 362
  13. 1139 rem 5
  14. 383 rem 1
  15. 12 rem 762
  16. 682 rem 22
  17. 886 rem 61
  18. 1102 rem 3
  19. 793 rem 629
  20. 892 rem 254
  21. 893 rem 615
  22. 296 rem 23
  23. 703 rem 89
  24. 637 rem 772
  25. 519 rem 78
  26. 253 rem 41
  27. 309 rem 43
  28. 867 rem 413
  29. 535 rem 63
  30. 523 rem 585
  31. 416 rem 633
  32. 311 rem 50
  33. 93 rem 0
  34. 979 rem 77
  35. 1184 rem 3
  36. 69 rem 738
  37. 582 rem 890
  38. 556 rem 92
  39. 981 rem 74
  40. 109 rem 702

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