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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 474 · 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. 1.954304 ÷ 897 =
  2. 2.716737 ÷ 988 =
  3. 3.222996 ÷ 988 =
  4. 4.185312 ÷ 988 =
  5. 5.29092 ÷ 89 =
  6. 6.5465 ÷ 98 =
  7. 7.777377 ÷ 998 =
  8. 8.62739 ÷ 98 =
  9. 9.403144 ÷ 998 =
  10. 10.61390 ÷ 96 =
  11. 11.745736 ÷ 998 =
  12. 12.31560 ÷ 89 =
  13. 13.76137 ÷ 998 =
  14. 14.121361 ÷ 988 =
  15. 15.74348 ÷ 96 =
  16. 16.627775 ÷ 989 =
  17. 17.7132 ÷ 98 =
  18. 18.165 ÷ 8 =
  19. 19.77080 ÷ 897 =
  20. 20.95092 ÷ 88 =
  21. 21.78401 ÷ 98 =
  22. 22.11299 ÷ 88 =
  23. 23.78723 ÷ 98 =
  24. 24.43792 ÷ 96 =
  25. 25.6259 ÷ 89 =
  26. 26.345769 ÷ 897 =
  27. 27.971370 ÷ 989 =
  28. 28.158695 ÷ 997 =
  29. 29.7260 ÷ 8 =
  30. 30.41790 ÷ 88 =
  31. 31.611515 ÷ 988 =
  32. 32.9603 ÷ 8 =
  33. 33.3818 ÷ 8 =
  34. 34.25187 ÷ 98 =
  35. 35.14694 ÷ 96 =
  36. 36.47653 ÷ 98 =
  37. 37.37359 ÷ 88 =
  38. 38.2946 ÷ 8 =
  39. 39.488728 ÷ 989 =
  40. 40.435476 ÷ 988 =

Answer key

  1. 1063 rem 793
  2. 725 rem 437
  3. 225 rem 696
  4. 187 rem 556
  5. 326 rem 78
  6. 55 rem 75
  7. 778 rem 933
  8. 640 rem 19
  9. 403 rem 950
  10. 639 rem 46
  11. 747 rem 230
  12. 354 rem 54
  13. 76 rem 289
  14. 122 rem 825
  15. 774 rem 44
  16. 634 rem 749
  17. 72 rem 76
  18. 20 rem 5
  19. 85 rem 835
  20. 1080 rem 52
  21. 800 rem 1
  22. 128 rem 35
  23. 803 rem 29
  24. 456 rem 16
  25. 70 rem 29
  26. 385 rem 424
  27. 982 rem 172
  28. 159 rem 172
  29. 907 rem 4
  30. 474 rem 78
  31. 618 rem 931
  32. 1200 rem 3
  33. 477 rem 2
  34. 257 rem 1
  35. 153 rem 6
  36. 486 rem 25
  37. 424 rem 47
  38. 368 rem 2
  39. 494 rem 162
  40. 440 rem 756

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