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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 430 · 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. 1.415355 ÷ 998 =
  2. 2.1787 ÷ 8 =
  3. 3.75457 ÷ 88 =
  4. 4.485630 ÷ 998 =
  5. 5.68985 ÷ 88 =
  6. 6.72299 ÷ 96 =
  7. 7.67362 ÷ 89 =
  8. 8.23240 ÷ 96 =
  9. 9.25850 ÷ 97 =
  10. 10.68259 ÷ 88 =
  11. 11.62678 ÷ 88 =
  12. 12.313285 ÷ 997 =
  13. 13.36651 ÷ 89 =
  14. 14.66079 ÷ 88 =
  15. 15.41891 ÷ 89 =
  16. 16.62478 ÷ 98 =
  17. 17.92856 ÷ 98 =
  18. 18.14901 ÷ 98 =
  19. 19.538691 ÷ 897 =
  20. 20.167 ÷ 8 =
  21. 21.546297 ÷ 998 =
  22. 22.216102 ÷ 897 =
  23. 23.77477 ÷ 88 =
  24. 24.97644 ÷ 96 =
  25. 25.25638 ÷ 97 =
  26. 26.17404 ÷ 88 =
  27. 27.2207 ÷ 97 =
  28. 28.293 ÷ 8 =
  29. 29.643185 ÷ 989 =
  30. 30.25955 ÷ 98 =
  31. 31.6322 ÷ 8 =
  32. 32.12551 ÷ 88 =
  33. 33.778976 ÷ 897 =
  34. 34.82700 ÷ 89 =
  35. 35.270960 ÷ 897 =
  36. 36.764 ÷ 8 =
  37. 37.49577 ÷ 97 =
  38. 38.46364 ÷ 89 =
  39. 39.868528 ÷ 897 =
  40. 40.195515 ÷ 988 =

Answer key

  1. 416 rem 187
  2. 223 rem 3
  3. 857 rem 41
  4. 486 rem 602
  5. 783 rem 81
  6. 753 rem 11
  7. 756 rem 78
  8. 242 rem 8
  9. 266 rem 48
  10. 775 rem 59
  11. 712 rem 22
  12. 314 rem 227
  13. 411 rem 72
  14. 750 rem 79
  15. 470 rem 61
  16. 637 rem 52
  17. 947 rem 50
  18. 152 rem 5
  19. 600 rem 491
  20. 20 rem 7
  21. 547 rem 391
  22. 240 rem 822
  23. 880 rem 37
  24. 1017 rem 12
  25. 264 rem 30
  26. 197 rem 68
  27. 22 rem 73
  28. 36 rem 5
  29. 650 rem 335
  30. 264 rem 83
  31. 790 rem 2
  32. 142 rem 55
  33. 868 rem 380
  34. 929 rem 19
  35. 302 rem 66
  36. 95 rem 4
  37. 511 rem 10
  38. 520 rem 84
  39. 968 rem 232
  40. 197 rem 879

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