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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 241 · 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. 1.53185 ÷ 89 =
  2. 2.68360 ÷ 96 =
  3. 3.273303 ÷ 997 =
  4. 4.401811 ÷ 989 =
  5. 5.49452 ÷ 98 =
  6. 6.57013 ÷ 97 =
  7. 7.520 ÷ 8 =
  8. 8.22406 ÷ 96 =
  9. 9.240436 ÷ 998 =
  10. 10.982499 ÷ 997 =
  11. 11.5518 ÷ 8 =
  12. 12.24978 ÷ 98 =
  13. 13.127545 ÷ 989 =
  14. 14.2282 ÷ 97 =
  15. 15.4918 ÷ 8 =
  16. 16.32652 ÷ 96 =
  17. 17.614267 ÷ 988 =
  18. 18.648041 ÷ 989 =
  19. 19.98984 ÷ 97 =
  20. 20.6902 ÷ 8 =
  21. 21.3092 ÷ 8 =
  22. 22.5549 ÷ 8 =
  23. 23.300 ÷ 8 =
  24. 24.32751 ÷ 96 =
  25. 25.7593 ÷ 8 =
  26. 26.833561 ÷ 988 =
  27. 27.89033 ÷ 88 =
  28. 28.17699 ÷ 998 =
  29. 29.94564 ÷ 89 =
  30. 30.85725 ÷ 98 =
  31. 31.362328 ÷ 997 =
  32. 32.545950 ÷ 989 =
  33. 33.13776 ÷ 997 =
  34. 34.189878 ÷ 997 =
  35. 35.894617 ÷ 989 =
  36. 36.93286 ÷ 88 =
  37. 37.12950 ÷ 97 =
  38. 38.7422 ÷ 88 =
  39. 39.95689 ÷ 88 =
  40. 40.3333 ÷ 88 =

Answer key

  1. 597 rem 52
  2. 712 rem 8
  3. 274 rem 125
  4. 406 rem 277
  5. 504 rem 60
  6. 587 rem 74
  7. 65 rem 0
  8. 233 rem 38
  9. 240 rem 916
  10. 985 rem 454
  11. 689 rem 6
  12. 254 rem 86
  13. 128 rem 953
  14. 23 rem 51
  15. 614 rem 6
  16. 340 rem 12
  17. 621 rem 719
  18. 655 rem 246
  19. 1020 rem 44
  20. 862 rem 6
  21. 386 rem 4
  22. 693 rem 5
  23. 37 rem 4
  24. 341 rem 15
  25. 949 rem 1
  26. 843 rem 677
  27. 1011 rem 65
  28. 17 rem 733
  29. 1062 rem 46
  30. 874 rem 73
  31. 363 rem 417
  32. 552 rem 22
  33. 13 rem 815
  34. 190 rem 448
  35. 904 rem 561
  36. 1060 rem 6
  37. 133 rem 49
  38. 84 rem 30
  39. 1087 rem 33
  40. 37 rem 77

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