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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 352 · 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. 1.178107 ÷ 988 =
  2. 2.52925 ÷ 98 =
  3. 3.9377 ÷ 96 =
  4. 4.12699 ÷ 89 =
  5. 5.701111 ÷ 997 =
  6. 6.36579 ÷ 97 =
  7. 7.2755 ÷ 8 =
  8. 8.51209 ÷ 96 =
  9. 9.633429 ÷ 988 =
  10. 10.45296 ÷ 98 =
  11. 11.789503 ÷ 989 =
  12. 12.66702 ÷ 96 =
  13. 13.11649 ÷ 89 =
  14. 14.526318 ÷ 897 =
  15. 15.5668 ÷ 8 =
  16. 16.9519 ÷ 88 =
  17. 17.99177 ÷ 97 =
  18. 18.94202 ÷ 96 =
  19. 19.104737 ÷ 988 =
  20. 20.77772 ÷ 96 =
  21. 21.608081 ÷ 989 =
  22. 22.87541 ÷ 96 =
  23. 23.750098 ÷ 998 =
  24. 24.468219 ÷ 997 =
  25. 25.27267 ÷ 89 =
  26. 26.10535 ÷ 96 =
  27. 27.220122 ÷ 989 =
  28. 28.73559 ÷ 89 =
  29. 29.7806 ÷ 8 =
  30. 30.17272 ÷ 89 =
  31. 31.16412 ÷ 89 =
  32. 32.747224 ÷ 998 =
  33. 33.1853 ÷ 8 =
  34. 34.487497 ÷ 897 =
  35. 35.679285 ÷ 988 =
  36. 36.74419 ÷ 988 =
  37. 37.6604 ÷ 8 =
  38. 38.3230 ÷ 88 =
  39. 39.225223 ÷ 897 =
  40. 40.27851 ÷ 88 =

Answer key

  1. 180 rem 267
  2. 540 rem 5
  3. 97 rem 65
  4. 142 rem 61
  5. 703 rem 220
  6. 377 rem 10
  7. 344 rem 3
  8. 533 rem 41
  9. 641 rem 121
  10. 462 rem 20
  11. 798 rem 281
  12. 694 rem 78
  13. 130 rem 79
  14. 586 rem 676
  15. 708 rem 4
  16. 108 rem 15
  17. 1022 rem 43
  18. 981 rem 26
  19. 106 rem 9
  20. 810 rem 12
  21. 614 rem 835
  22. 911 rem 85
  23. 751 rem 600
  24. 469 rem 626
  25. 306 rem 33
  26. 109 rem 71
  27. 222 rem 564
  28. 826 rem 45
  29. 975 rem 6
  30. 194 rem 6
  31. 184 rem 36
  32. 748 rem 720
  33. 231 rem 5
  34. 543 rem 426
  35. 687 rem 529
  36. 75 rem 319
  37. 825 rem 4
  38. 36 rem 62
  39. 251 rem 76
  40. 316 rem 43

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