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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 30 · 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. 1.134640 ÷ 897 =
  2. 2.5101 ÷ 8 =
  3. 3.71789 ÷ 989 =
  4. 4.20197 ÷ 89 =
  5. 5.5796 ÷ 8 =
  6. 6.7641 ÷ 97 =
  7. 7.428882 ÷ 998 =
  8. 8.891159 ÷ 897 =
  9. 9.8157 ÷ 8 =
  10. 10.451067 ÷ 997 =
  11. 11.103240 ÷ 988 =
  12. 12.94125 ÷ 96 =
  13. 13.311389 ÷ 998 =
  14. 14.844174 ÷ 897 =
  15. 15.11089 ÷ 988 =
  16. 16.762381 ÷ 989 =
  17. 17.596036 ÷ 897 =
  18. 18.732966 ÷ 988 =
  19. 19.315644 ÷ 989 =
  20. 20.7600 ÷ 8 =
  21. 21.469422 ÷ 989 =
  22. 22.9244 ÷ 8 =
  23. 23.50401 ÷ 96 =
  24. 24.1874 ÷ 8 =
  25. 25.896306 ÷ 997 =
  26. 26.712962 ÷ 988 =
  27. 27.14021 ÷ 97 =
  28. 28.61425 ÷ 96 =
  29. 29.904190 ÷ 998 =
  30. 30.675580 ÷ 998 =
  31. 31.30134 ÷ 88 =
  32. 32.37280 ÷ 98 =
  33. 33.543386 ÷ 989 =
  34. 34.39034 ÷ 98 =
  35. 35.853470 ÷ 997 =
  36. 36.92494 ÷ 88 =
  37. 37.21759 ÷ 989 =
  38. 38.14482 ÷ 89 =
  39. 39.5692 ÷ 8 =
  40. 40.43160 ÷ 98 =

Answer key

  1. 150 rem 90
  2. 637 rem 5
  3. 72 rem 581
  4. 226 rem 83
  5. 724 rem 4
  6. 78 rem 75
  7. 429 rem 740
  8. 993 rem 438
  9. 1019 rem 5
  10. 452 rem 423
  11. 104 rem 488
  12. 980 rem 45
  13. 312 rem 13
  14. 941 rem 97
  15. 11 rem 221
  16. 770 rem 851
  17. 664 rem 428
  18. 741 rem 858
  19. 319 rem 153
  20. 950 rem 0
  21. 474 rem 636
  22. 1155 rem 4
  23. 525 rem 1
  24. 234 rem 2
  25. 899 rem 3
  26. 721 rem 614
  27. 144 rem 53
  28. 639 rem 81
  29. 906 rem 2
  30. 676 rem 932
  31. 342 rem 38
  32. 380 rem 40
  33. 549 rem 425
  34. 398 rem 30
  35. 856 rem 38
  36. 1051 rem 6
  37. 22 rem 1
  38. 162 rem 64
  39. 711 rem 4
  40. 440 rem 40

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