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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 595 · 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. 1.62678 ÷ 88 =
  2. 2.60137 ÷ 98 =
  3. 3.7944 ÷ 8 =
  4. 4.1569 ÷ 96 =
  5. 5.805617 ÷ 988 =
  6. 6.777491 ÷ 998 =
  7. 7.5643 ÷ 8 =
  8. 8.625841 ÷ 997 =
  9. 9.432657 ÷ 897 =
  10. 10.7816 ÷ 8 =
  11. 11.571090 ÷ 997 =
  12. 12.6921 ÷ 8 =
  13. 13.90290 ÷ 97 =
  14. 14.38095 ÷ 96 =
  15. 15.20302 ÷ 88 =
  16. 16.41684 ÷ 97 =
  17. 17.227418 ÷ 998 =
  18. 18.36049 ÷ 98 =
  19. 19.28550 ÷ 89 =
  20. 20.83619 ÷ 96 =
  21. 21.16114 ÷ 96 =
  22. 22.73027 ÷ 88 =
  23. 23.5761 ÷ 98 =
  24. 24.10056 ÷ 89 =
  25. 25.20169 ÷ 998 =
  26. 26.272891 ÷ 988 =
  27. 27.447020 ÷ 897 =
  28. 28.33426 ÷ 89 =
  29. 29.44466 ÷ 89 =
  30. 30.98473 ÷ 989 =
  31. 31.153727 ÷ 997 =
  32. 32.6877 ÷ 8 =
  33. 33.66500 ÷ 88 =
  34. 34.783681 ÷ 989 =
  35. 35.650993 ÷ 997 =
  36. 36.20694 ÷ 97 =
  37. 37.98716 ÷ 98 =
  38. 38.738299 ÷ 988 =
  39. 39.58409 ÷ 998 =
  40. 40.487024 ÷ 997 =

Answer key

  1. 712 rem 22
  2. 613 rem 63
  3. 993 rem 0
  4. 16 rem 33
  5. 815 rem 397
  6. 779 rem 49
  7. 705 rem 3
  8. 627 rem 722
  9. 482 rem 303
  10. 977 rem 0
  11. 572 rem 806
  12. 865 rem 1
  13. 930 rem 80
  14. 396 rem 79
  15. 230 rem 62
  16. 429 rem 71
  17. 227 rem 872
  18. 367 rem 83
  19. 320 rem 70
  20. 871 rem 3
  21. 167 rem 82
  22. 829 rem 75
  23. 58 rem 77
  24. 112 rem 88
  25. 20 rem 209
  26. 276 rem 203
  27. 498 rem 314
  28. 375 rem 51
  29. 499 rem 55
  30. 99 rem 562
  31. 154 rem 189
  32. 859 rem 5
  33. 755 rem 60
  34. 792 rem 393
  35. 652 rem 949
  36. 213 rem 33
  37. 1007 rem 30
  38. 747 rem 263
  39. 58 rem 525
  40. 488 rem 488

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