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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 786 · 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. 1.962664 ÷ 989 =
  2. 2.71221 ÷ 88 =
  3. 3.527937 ÷ 998 =
  4. 4.88520 ÷ 89 =
  5. 5.85426 ÷ 98 =
  6. 6.39696 ÷ 97 =
  7. 7.96773 ÷ 98 =
  8. 8.93562 ÷ 89 =
  9. 9.10134 ÷ 98 =
  10. 10.36446 ÷ 98 =
  11. 11.6840 ÷ 88 =
  12. 12.61021 ÷ 96 =
  13. 13.718087 ÷ 998 =
  14. 14.785486 ÷ 998 =
  15. 15.39135 ÷ 96 =
  16. 16.39558 ÷ 88 =
  17. 17.77245 ÷ 97 =
  18. 18.98308 ÷ 97 =
  19. 19.40706 ÷ 998 =
  20. 20.289101 ÷ 897 =
  21. 21.37520 ÷ 97 =
  22. 22.235517 ÷ 988 =
  23. 23.62829 ÷ 97 =
  24. 24.78116 ÷ 96 =
  25. 25.571408 ÷ 989 =
  26. 26.17623 ÷ 97 =
  27. 27.12959 ÷ 96 =
  28. 28.3815 ÷ 8 =
  29. 29.72485 ÷ 89 =
  30. 30.35392 ÷ 97 =
  31. 31.90597 ÷ 88 =
  32. 32.47773 ÷ 98 =
  33. 33.147591 ÷ 997 =
  34. 34.863984 ÷ 897 =
  35. 35.158512 ÷ 989 =
  36. 36.778222 ÷ 997 =
  37. 37.863965 ÷ 897 =
  38. 38.133842 ÷ 997 =
  39. 39.26218 ÷ 98 =
  40. 40.99367 ÷ 96 =

Answer key

  1. 973 rem 367
  2. 809 rem 29
  3. 528 rem 993
  4. 994 rem 54
  5. 871 rem 68
  6. 409 rem 23
  7. 987 rem 47
  8. 1051 rem 23
  9. 103 rem 40
  10. 371 rem 88
  11. 77 rem 64
  12. 635 rem 61
  13. 719 rem 525
  14. 787 rem 60
  15. 407 rem 63
  16. 449 rem 46
  17. 796 rem 33
  18. 1013 rem 47
  19. 40 rem 786
  20. 322 rem 267
  21. 386 rem 78
  22. 238 rem 373
  23. 647 rem 70
  24. 813 rem 68
  25. 577 rem 755
  26. 181 rem 66
  27. 134 rem 95
  28. 476 rem 7
  29. 814 rem 39
  30. 364 rem 84
  31. 1029 rem 45
  32. 487 rem 47
  33. 148 rem 35
  34. 963 rem 173
  35. 160 rem 272
  36. 780 rem 562
  37. 963 rem 154
  38. 134 rem 244
  39. 267 rem 52
  40. 1035 rem 7

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