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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 19 · 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. 1.102450 ÷ 897 =
  2. 2.733561 ÷ 988 =
  3. 3.426840 ÷ 897 =
  4. 4.49500 ÷ 98 =
  5. 5.57323 ÷ 88 =
  6. 6.90865 ÷ 88 =
  7. 7.445825 ÷ 989 =
  8. 8.810698 ÷ 988 =
  9. 9.250662 ÷ 989 =
  10. 10.127533 ÷ 998 =
  11. 11.7251 ÷ 96 =
  12. 12.2862 ÷ 98 =
  13. 13.188936 ÷ 989 =
  14. 14.55525 ÷ 97 =
  15. 15.14981 ÷ 96 =
  16. 16.523494 ÷ 897 =
  17. 17.81335 ÷ 98 =
  18. 18.84697 ÷ 88 =
  19. 19.23361 ÷ 98 =
  20. 20.29683 ÷ 89 =
  21. 21.16095 ÷ 98 =
  22. 22.405440 ÷ 988 =
  23. 23.11396 ÷ 97 =
  24. 24.278344 ÷ 989 =
  25. 25.65161 ÷ 96 =
  26. 26.7610 ÷ 8 =
  27. 27.32760 ÷ 89 =
  28. 28.59224 ÷ 88 =
  29. 29.466702 ÷ 988 =
  30. 30.931107 ÷ 998 =
  31. 31.95704 ÷ 97 =
  32. 32.4763 ÷ 8 =
  33. 33.66417 ÷ 97 =
  34. 34.413641 ÷ 989 =
  35. 35.33593 ÷ 88 =
  36. 36.1757 ÷ 8 =
  37. 37.90428 ÷ 89 =
  38. 38.115930 ÷ 998 =
  39. 39.32112 ÷ 98 =
  40. 40.16445 ÷ 97 =

Answer key

  1. 114 rem 192
  2. 742 rem 465
  3. 475 rem 765
  4. 505 rem 10
  5. 651 rem 35
  6. 1032 rem 49
  7. 450 rem 775
  8. 820 rem 538
  9. 253 rem 445
  10. 127 rem 787
  11. 75 rem 51
  12. 29 rem 20
  13. 191 rem 37
  14. 572 rem 41
  15. 156 rem 5
  16. 583 rem 543
  17. 829 rem 93
  18. 962 rem 41
  19. 238 rem 37
  20. 333 rem 46
  21. 164 rem 23
  22. 410 rem 360
  23. 117 rem 47
  24. 281 rem 435
  25. 678 rem 73
  26. 951 rem 2
  27. 368 rem 8
  28. 673 rem 0
  29. 472 rem 366
  30. 932 rem 971
  31. 986 rem 62
  32. 595 rem 3
  33. 684 rem 69
  34. 418 rem 239
  35. 381 rem 65
  36. 219 rem 5
  37. 1016 rem 4
  38. 116 rem 162
  39. 327 rem 66
  40. 169 rem 52

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