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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 300 · 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. 1.660917 ÷ 897 =
  2. 2.5025 ÷ 88 =
  3. 3.40574 ÷ 98 =
  4. 4.463 ÷ 8 =
  5. 5.740163 ÷ 997 =
  6. 6.5821 ÷ 8 =
  7. 7.19919 ÷ 96 =
  8. 8.676932 ÷ 998 =
  9. 9.93031 ÷ 96 =
  10. 10.189211 ÷ 998 =
  11. 11.828394 ÷ 998 =
  12. 12.24756 ÷ 98 =
  13. 13.656464 ÷ 897 =
  14. 14.15834 ÷ 89 =
  15. 15.450263 ÷ 997 =
  16. 16.5412 ÷ 96 =
  17. 17.620493 ÷ 989 =
  18. 18.47471 ÷ 97 =
  19. 19.612684 ÷ 997 =
  20. 20.2958 ÷ 8 =
  21. 21.25353 ÷ 97 =
  22. 22.60824 ÷ 88 =
  23. 23.667413 ÷ 989 =
  24. 24.934772 ÷ 988 =
  25. 25.790728 ÷ 997 =
  26. 26.54940 ÷ 98 =
  27. 27.356719 ÷ 988 =
  28. 28.243545 ÷ 989 =
  29. 29.393677 ÷ 997 =
  30. 30.16781 ÷ 97 =
  31. 31.220344 ÷ 988 =
  32. 32.802785 ÷ 997 =
  33. 33.57877 ÷ 97 =
  34. 34.16598 ÷ 96 =
  35. 35.76241 ÷ 98 =
  36. 36.96785 ÷ 96 =
  37. 37.23172 ÷ 98 =
  38. 38.287429 ÷ 998 =
  39. 39.4265 ÷ 8 =
  40. 40.2094 ÷ 89 =

Answer key

  1. 736 rem 725
  2. 57 rem 9
  3. 414 rem 2
  4. 57 rem 7
  5. 742 rem 389
  6. 727 rem 5
  7. 207 rem 47
  8. 678 rem 288
  9. 969 rem 7
  10. 189 rem 589
  11. 830 rem 54
  12. 252 rem 60
  13. 731 rem 757
  14. 177 rem 81
  15. 451 rem 616
  16. 56 rem 36
  17. 627 rem 390
  18. 489 rem 38
  19. 614 rem 526
  20. 369 rem 6
  21. 261 rem 36
  22. 691 rem 16
  23. 674 rem 827
  24. 946 rem 124
  25. 793 rem 107
  26. 560 rem 60
  27. 361 rem 51
  28. 246 rem 251
  29. 394 rem 859
  30. 173 rem 0
  31. 223 rem 20
  32. 805 rem 200
  33. 596 rem 65
  34. 172 rem 86
  35. 777 rem 95
  36. 1008 rem 17
  37. 236 rem 44
  38. 288 rem 5
  39. 533 rem 1
  40. 23 rem 47

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