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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 6 · 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. 1.732469 ÷ 989 =
  2. 2.1907 ÷ 8 =
  3. 3.999593 ÷ 997 =
  4. 4.3724 ÷ 8 =
  5. 5.27503 ÷ 88 =
  6. 6.22324 ÷ 998 =
  7. 7.36436 ÷ 98 =
  8. 8.430490 ÷ 997 =
  9. 9.895104 ÷ 998 =
  10. 10.360506 ÷ 897 =
  11. 11.29103 ÷ 997 =
  12. 12.84960 ÷ 97 =
  13. 13.779959 ÷ 997 =
  14. 14.733551 ÷ 989 =
  15. 15.658330 ÷ 988 =
  16. 16.803537 ÷ 897 =
  17. 17.316874 ÷ 997 =
  18. 18.312959 ÷ 897 =
  19. 19.50018 ÷ 97 =
  20. 20.198014 ÷ 998 =
  21. 21.2067 ÷ 8 =
  22. 22.113292 ÷ 897 =
  23. 23.372028 ÷ 988 =
  24. 24.23096 ÷ 96 =
  25. 25.888049 ÷ 998 =
  26. 26.21106 ÷ 96 =
  27. 27.16155 ÷ 998 =
  28. 28.505781 ÷ 997 =
  29. 29.98234 ÷ 89 =
  30. 30.3035 ÷ 96 =
  31. 31.7440 ÷ 8 =
  32. 32.23381 ÷ 96 =
  33. 33.465389 ÷ 998 =
  34. 34.56988 ÷ 88 =
  35. 35.721141 ÷ 897 =
  36. 36.530494 ÷ 897 =
  37. 37.410123 ÷ 997 =
  38. 38.14345 ÷ 989 =
  39. 39.14086 ÷ 98 =
  40. 40.3158 ÷ 8 =

Answer key

  1. 740 rem 609
  2. 238 rem 3
  3. 1002 rem 599
  4. 465 rem 4
  5. 312 rem 47
  6. 22 rem 368
  7. 371 rem 78
  8. 431 rem 783
  9. 896 rem 896
  10. 401 rem 809
  11. 29 rem 190
  12. 875 rem 85
  13. 782 rem 305
  14. 741 rem 702
  15. 666 rem 322
  16. 895 rem 722
  17. 317 rem 825
  18. 348 rem 803
  19. 515 rem 63
  20. 198 rem 410
  21. 258 rem 3
  22. 126 rem 270
  23. 376 rem 540
  24. 240 rem 56
  25. 889 rem 827
  26. 219 rem 82
  27. 16 rem 187
  28. 507 rem 302
  29. 1103 rem 67
  30. 31 rem 59
  31. 930 rem 0
  32. 243 rem 53
  33. 466 rem 321
  34. 647 rem 52
  35. 803 rem 850
  36. 591 rem 367
  37. 411 rem 356
  38. 14 rem 499
  39. 143 rem 72
  40. 394 rem 6

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