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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 388 · 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. 1.22243 ÷ 89 =
  2. 2.806513 ÷ 997 =
  3. 3.866188 ÷ 998 =
  4. 4.5626 ÷ 8 =
  5. 5.97949 ÷ 89 =
  6. 6.2568 ÷ 8 =
  7. 7.20516 ÷ 98 =
  8. 8.8037 ÷ 8 =
  9. 9.42623 ÷ 988 =
  10. 10.661844 ÷ 988 =
  11. 11.818027 ÷ 997 =
  12. 12.27580 ÷ 98 =
  13. 13.108 ÷ 8 =
  14. 14.72648 ÷ 97 =
  15. 15.898 ÷ 8 =
  16. 16.593363 ÷ 989 =
  17. 17.152033 ÷ 988 =
  18. 18.448419 ÷ 998 =
  19. 19.299890 ÷ 988 =
  20. 20.17478 ÷ 88 =
  21. 21.61675 ÷ 89 =
  22. 22.847128 ÷ 989 =
  23. 23.34828 ÷ 97 =
  24. 24.571996 ÷ 897 =
  25. 25.13924 ÷ 98 =
  26. 26.953077 ÷ 897 =
  27. 27.69108 ÷ 97 =
  28. 28.3304 ÷ 8 =
  29. 29.86639 ÷ 88 =
  30. 30.434509 ÷ 989 =
  31. 31.810322 ÷ 997 =
  32. 32.636555 ÷ 989 =
  33. 33.81159 ÷ 98 =
  34. 34.27897 ÷ 98 =
  35. 35.652395 ÷ 989 =
  36. 36.37691 ÷ 98 =
  37. 37.39998 ÷ 96 =
  38. 38.616326 ÷ 989 =
  39. 39.28294 ÷ 98 =
  40. 40.663618 ÷ 989 =

Answer key

  1. 249 rem 82
  2. 808 rem 937
  3. 867 rem 922
  4. 703 rem 2
  5. 1100 rem 49
  6. 321 rem 0
  7. 209 rem 34
  8. 1004 rem 5
  9. 43 rem 139
  10. 669 rem 872
  11. 820 rem 487
  12. 281 rem 42
  13. 13 rem 4
  14. 748 rem 92
  15. 112 rem 2
  16. 599 rem 952
  17. 153 rem 869
  18. 449 rem 317
  19. 303 rem 526
  20. 198 rem 54
  21. 692 rem 87
  22. 856 rem 544
  23. 359 rem 5
  24. 637 rem 607
  25. 142 rem 8
  26. 1062 rem 463
  27. 712 rem 44
  28. 413 rem 0
  29. 984 rem 47
  30. 439 rem 338
  31. 812 rem 758
  32. 643 rem 628
  33. 828 rem 15
  34. 284 rem 65
  35. 659 rem 644
  36. 384 rem 59
  37. 416 rem 62
  38. 623 rem 179
  39. 288 rem 70
  40. 670 rem 988

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