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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 848 · 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. 1.90489 ÷ 97 =
  2. 2.8040 ÷ 8 =
  3. 3.854675 ÷ 998 =
  4. 4.703197 ÷ 997 =
  5. 5.73478 ÷ 88 =
  6. 6.290955 ÷ 989 =
  7. 7.122442 ÷ 998 =
  8. 8.2142 ÷ 8 =
  9. 9.73237 ÷ 98 =
  10. 10.156192 ÷ 897 =
  11. 11.78800 ÷ 97 =
  12. 12.21827 ÷ 997 =
  13. 13.74226 ÷ 98 =
  14. 14.6005 ÷ 88 =
  15. 15.519592 ÷ 989 =
  16. 16.85875 ÷ 89 =
  17. 17.44894 ÷ 89 =
  18. 18.837378 ÷ 897 =
  19. 19.74018 ÷ 96 =
  20. 20.31723 ÷ 98 =
  21. 21.91652 ÷ 98 =
  22. 22.9808 ÷ 8 =
  23. 23.334163 ÷ 897 =
  24. 24.911680 ÷ 989 =
  25. 25.66737 ÷ 89 =
  26. 26.699871 ÷ 998 =
  27. 27.65411 ÷ 89 =
  28. 28.59485 ÷ 88 =
  29. 29.22788 ÷ 96 =
  30. 30.856775 ÷ 989 =
  31. 31.72386 ÷ 96 =
  32. 32.49938 ÷ 88 =
  33. 33.26124 ÷ 96 =
  34. 34.814847 ÷ 988 =
  35. 35.154092 ÷ 988 =
  36. 36.18404 ÷ 98 =
  37. 37.95357 ÷ 88 =
  38. 38.51877 ÷ 88 =
  39. 39.82465 ÷ 98 =
  40. 40.94346 ÷ 998 =

Answer key

  1. 932 rem 85
  2. 1005 rem 0
  3. 856 rem 387
  4. 705 rem 312
  5. 834 rem 86
  6. 294 rem 189
  7. 122 rem 686
  8. 267 rem 6
  9. 747 rem 31
  10. 174 rem 114
  11. 812 rem 36
  12. 21 rem 890
  13. 757 rem 40
  14. 68 rem 21
  15. 525 rem 367
  16. 964 rem 79
  17. 504 rem 38
  18. 933 rem 477
  19. 771 rem 2
  20. 323 rem 69
  21. 935 rem 22
  22. 1226 rem 0
  23. 372 rem 479
  24. 921 rem 811
  25. 749 rem 76
  26. 701 rem 273
  27. 734 rem 85
  28. 675 rem 85
  29. 237 rem 36
  30. 866 rem 301
  31. 754 rem 2
  32. 567 rem 42
  33. 272 rem 12
  34. 824 rem 735
  35. 155 rem 952
  36. 187 rem 78
  37. 1083 rem 53
  38. 589 rem 45
  39. 841 rem 47
  40. 94 rem 534

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