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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 470 · 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. 1.211963 ÷ 988 =
  2. 2.407282 ÷ 998 =
  3. 3.9749 ÷ 8 =
  4. 4.51433 ÷ 989 =
  5. 5.51718 ÷ 897 =
  6. 6.60689 ÷ 98 =
  7. 7.57452 ÷ 96 =
  8. 8.61416 ÷ 897 =
  9. 9.544810 ÷ 897 =
  10. 10.29487 ÷ 97 =
  11. 11.9272 ÷ 98 =
  12. 12.3442 ÷ 8 =
  13. 13.81575 ÷ 98 =
  14. 14.23908 ÷ 97 =
  15. 15.36794 ÷ 97 =
  16. 16.21337 ÷ 98 =
  17. 17.199194 ÷ 988 =
  18. 18.42951 ÷ 88 =
  19. 19.3108 ÷ 98 =
  20. 20.22786 ÷ 88 =
  21. 21.578095 ÷ 988 =
  22. 22.91895 ÷ 97 =
  23. 23.85995 ÷ 96 =
  24. 24.14545 ÷ 98 =
  25. 25.77214 ÷ 96 =
  26. 26.88057 ÷ 89 =
  27. 27.618443 ÷ 998 =
  28. 28.28935 ÷ 96 =
  29. 29.52171 ÷ 97 =
  30. 30.58920 ÷ 89 =
  31. 31.144679 ÷ 897 =
  32. 32.3732 ÷ 98 =
  33. 33.62665 ÷ 98 =
  34. 34.312957 ÷ 989 =
  35. 35.269962 ÷ 989 =
  36. 36.778530 ÷ 989 =
  37. 37.56646 ÷ 97 =
  38. 38.70586 ÷ 96 =
  39. 39.6171 ÷ 8 =
  40. 40.81077 ÷ 97 =

Answer key

  1. 214 rem 531
  2. 408 rem 98
  3. 1218 rem 5
  4. 52 rem 5
  5. 57 rem 589
  6. 619 rem 27
  7. 598 rem 44
  8. 68 rem 420
  9. 607 rem 331
  10. 303 rem 96
  11. 94 rem 60
  12. 430 rem 2
  13. 832 rem 39
  14. 246 rem 46
  15. 379 rem 31
  16. 217 rem 71
  17. 201 rem 606
  18. 488 rem 7
  19. 31 rem 70
  20. 258 rem 82
  21. 585 rem 115
  22. 947 rem 36
  23. 895 rem 75
  24. 148 rem 41
  25. 804 rem 30
  26. 989 rem 36
  27. 619 rem 681
  28. 301 rem 39
  29. 537 rem 82
  30. 662 rem 2
  31. 161 rem 262
  32. 38 rem 8
  33. 639 rem 43
  34. 316 rem 433
  35. 272 rem 954
  36. 787 rem 187
  37. 583 rem 95
  38. 735 rem 26
  39. 771 rem 3
  40. 835 rem 82

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