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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 165 · 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. 1.34232 ÷ 98 =
  2. 2.187404 ÷ 998 =
  3. 3.720832 ÷ 998 =
  4. 4.49251 ÷ 98 =
  5. 5.58623 ÷ 998 =
  6. 6.67298 ÷ 97 =
  7. 7.38627 ÷ 97 =
  8. 8.89210 ÷ 98 =
  9. 9.16014 ÷ 97 =
  10. 10.644819 ÷ 997 =
  11. 11.57053 ÷ 98 =
  12. 12.987447 ÷ 988 =
  13. 13.1452 ÷ 8 =
  14. 14.58460 ÷ 96 =
  15. 15.191260 ÷ 988 =
  16. 16.3751 ÷ 8 =
  17. 17.5286 ÷ 96 =
  18. 18.65509 ÷ 98 =
  19. 19.7491 ÷ 98 =
  20. 20.580110 ÷ 989 =
  21. 21.361003 ÷ 897 =
  22. 22.8380 ÷ 8 =
  23. 23.232724 ÷ 897 =
  24. 24.515848 ÷ 998 =
  25. 25.491874 ÷ 997 =
  26. 26.202614 ÷ 897 =
  27. 27.72372 ÷ 88 =
  28. 28.85737 ÷ 89 =
  29. 29.821934 ÷ 997 =
  30. 30.23363 ÷ 97 =
  31. 31.22551 ÷ 96 =
  32. 32.239013 ÷ 998 =
  33. 33.38820 ÷ 88 =
  34. 34.730303 ÷ 988 =
  35. 35.78382 ÷ 98 =
  36. 36.791859 ÷ 989 =
  37. 37.958972 ÷ 997 =
  38. 38.71378 ÷ 89 =
  39. 39.44111 ÷ 88 =
  40. 40.789555 ÷ 998 =

Answer key

  1. 349 rem 30
  2. 187 rem 778
  3. 722 rem 276
  4. 502 rem 55
  5. 58 rem 739
  6. 693 rem 77
  7. 398 rem 21
  8. 910 rem 30
  9. 165 rem 9
  10. 646 rem 757
  11. 582 rem 17
  12. 999 rem 435
  13. 181 rem 4
  14. 608 rem 92
  15. 193 rem 576
  16. 468 rem 7
  17. 55 rem 6
  18. 668 rem 45
  19. 76 rem 43
  20. 586 rem 556
  21. 402 rem 409
  22. 1047 rem 4
  23. 259 rem 401
  24. 516 rem 880
  25. 493 rem 353
  26. 225 rem 789
  27. 822 rem 36
  28. 963 rem 30
  29. 824 rem 406
  30. 240 rem 83
  31. 234 rem 87
  32. 239 rem 491
  33. 441 rem 12
  34. 739 rem 171
  35. 799 rem 80
  36. 800 rem 659
  37. 961 rem 855
  38. 802 rem 0
  39. 501 rem 23
  40. 791 rem 137

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