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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 446 · 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. 1.49869 ÷ 97 =
  2. 2.863391 ÷ 997 =
  3. 3.576840 ÷ 988 =
  4. 4.788590 ÷ 997 =
  5. 5.756279 ÷ 988 =
  6. 6.29799 ÷ 98 =
  7. 7.8556 ÷ 98 =
  8. 8.1445 ÷ 89 =
  9. 9.707065 ÷ 998 =
  10. 10.530557 ÷ 988 =
  11. 11.987335 ÷ 997 =
  12. 12.767484 ÷ 897 =
  13. 13.513600 ÷ 997 =
  14. 14.2336 ÷ 8 =
  15. 15.7621 ÷ 97 =
  16. 16.740 ÷ 8 =
  17. 17.439613 ÷ 988 =
  18. 18.2136 ÷ 8 =
  19. 19.746837 ÷ 897 =
  20. 20.69848 ÷ 98 =
  21. 21.182846 ÷ 998 =
  22. 22.89843 ÷ 97 =
  23. 23.482136 ÷ 989 =
  24. 24.67033 ÷ 96 =
  25. 25.6425 ÷ 8 =
  26. 26.162396 ÷ 998 =
  27. 27.80006 ÷ 96 =
  28. 28.502690 ÷ 988 =
  29. 29.857943 ÷ 998 =
  30. 30.4964 ÷ 8 =
  31. 31.76036 ÷ 98 =
  32. 32.53260 ÷ 998 =
  33. 33.69704 ÷ 98 =
  34. 34.25359 ÷ 89 =
  35. 35.73583 ÷ 88 =
  36. 36.946209 ÷ 989 =
  37. 37.5439 ÷ 8 =
  38. 38.9403 ÷ 8 =
  39. 39.88109 ÷ 88 =
  40. 40.22514 ÷ 96 =

Answer key

  1. 514 rem 11
  2. 865 rem 986
  3. 583 rem 836
  4. 790 rem 960
  5. 765 rem 459
  6. 304 rem 7
  7. 87 rem 30
  8. 16 rem 21
  9. 708 rem 481
  10. 537 rem 1
  11. 990 rem 305
  12. 855 rem 549
  13. 515 rem 145
  14. 292 rem 0
  15. 78 rem 55
  16. 92 rem 4
  17. 444 rem 941
  18. 267 rem 0
  19. 832 rem 533
  20. 712 rem 72
  21. 183 rem 212
  22. 926 rem 21
  23. 487 rem 493
  24. 698 rem 25
  25. 803 rem 1
  26. 162 rem 720
  27. 833 rem 38
  28. 508 rem 786
  29. 859 rem 661
  30. 620 rem 4
  31. 775 rem 86
  32. 53 rem 366
  33. 711 rem 26
  34. 284 rem 83
  35. 836 rem 15
  36. 956 rem 725
  37. 679 rem 7
  38. 1175 rem 3
  39. 1001 rem 21
  40. 234 rem 50

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