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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 884 · 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. 1.1867 ÷ 96 =
  2. 2.885582 ÷ 998 =
  3. 3.746443 ÷ 989 =
  4. 4.13274 ÷ 89 =
  5. 5.93041 ÷ 96 =
  6. 6.509324 ÷ 997 =
  7. 7.3766 ÷ 8 =
  8. 8.861638 ÷ 989 =
  9. 9.956821 ÷ 998 =
  10. 10.497408 ÷ 897 =
  11. 11.447886 ÷ 997 =
  12. 12.281784 ÷ 997 =
  13. 13.9658 ÷ 8 =
  14. 14.542707 ÷ 998 =
  15. 15.91937 ÷ 89 =
  16. 16.478700 ÷ 897 =
  17. 17.86466 ÷ 97 =
  18. 18.3553 ÷ 8 =
  19. 19.943924 ÷ 989 =
  20. 20.28463 ÷ 97 =
  21. 21.10139 ÷ 98 =
  22. 22.503223 ÷ 988 =
  23. 23.53054 ÷ 88 =
  24. 24.2723 ÷ 98 =
  25. 25.79891 ÷ 89 =
  26. 26.869195 ÷ 998 =
  27. 27.45896 ÷ 88 =
  28. 28.4236 ÷ 8 =
  29. 29.1761 ÷ 8 =
  30. 30.37384 ÷ 89 =
  31. 31.822215 ÷ 997 =
  32. 32.92195 ÷ 98 =
  33. 33.54044 ÷ 88 =
  34. 34.627254 ÷ 997 =
  35. 35.87435 ÷ 88 =
  36. 36.22682 ÷ 96 =
  37. 37.1304 ÷ 97 =
  38. 38.34983 ÷ 897 =
  39. 39.150365 ÷ 988 =
  40. 40.70822 ÷ 88 =

Answer key

  1. 19 rem 43
  2. 887 rem 356
  3. 754 rem 737
  4. 149 rem 13
  5. 969 rem 17
  6. 510 rem 854
  7. 470 rem 6
  8. 871 rem 219
  9. 958 rem 737
  10. 554 rem 470
  11. 449 rem 233
  12. 282 rem 630
  13. 1207 rem 2
  14. 543 rem 793
  15. 1033 rem 0
  16. 533 rem 599
  17. 891 rem 39
  18. 444 rem 1
  19. 954 rem 418
  20. 293 rem 42
  21. 103 rem 45
  22. 509 rem 331
  23. 602 rem 78
  24. 27 rem 77
  25. 897 rem 58
  26. 870 rem 935
  27. 521 rem 48
  28. 529 rem 4
  29. 220 rem 1
  30. 420 rem 4
  31. 824 rem 687
  32. 940 rem 75
  33. 614 rem 12
  34. 629 rem 141
  35. 993 rem 51
  36. 236 rem 26
  37. 13 rem 43
  38. 39 rem 0
  39. 152 rem 189
  40. 804 rem 70

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