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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 236 · 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. 1.802266 ÷ 989 =
  2. 2.994129 ÷ 988 =
  3. 3.43027 ÷ 96 =
  4. 4.627 ÷ 8 =
  5. 5.956369 ÷ 998 =
  6. 6.80251 ÷ 89 =
  7. 7.3846 ÷ 8 =
  8. 8.513609 ÷ 998 =
  9. 9.466725 ÷ 998 =
  10. 10.2638 ÷ 8 =
  11. 11.57330 ÷ 96 =
  12. 12.51127 ÷ 88 =
  13. 13.53585 ÷ 97 =
  14. 14.21520 ÷ 97 =
  15. 15.83052 ÷ 89 =
  16. 16.596836 ÷ 998 =
  17. 17.72541 ÷ 98 =
  18. 18.99910 ÷ 97 =
  19. 19.76598 ÷ 98 =
  20. 20.936542 ÷ 989 =
  21. 21.86827 ÷ 97 =
  22. 22.29198 ÷ 88 =
  23. 23.3743 ÷ 8 =
  24. 24.4617 ÷ 88 =
  25. 25.785833 ÷ 998 =
  26. 26.498484 ÷ 897 =
  27. 27.49901 ÷ 989 =
  28. 28.79249 ÷ 96 =
  29. 29.490597 ÷ 998 =
  30. 30.142870 ÷ 998 =
  31. 31.24620 ÷ 89 =
  32. 32.33109 ÷ 98 =
  33. 33.8393 ÷ 8 =
  34. 34.11205 ÷ 998 =
  35. 35.492704 ÷ 989 =
  36. 36.531058 ÷ 988 =
  37. 37.103302 ÷ 988 =
  38. 38.41333 ÷ 96 =
  39. 39.589286 ÷ 997 =
  40. 40.202256 ÷ 997 =

Answer key

  1. 811 rem 187
  2. 1006 rem 201
  3. 448 rem 19
  4. 78 rem 3
  5. 958 rem 285
  6. 901 rem 62
  7. 480 rem 6
  8. 514 rem 637
  9. 467 rem 659
  10. 329 rem 6
  11. 597 rem 18
  12. 580 rem 87
  13. 552 rem 41
  14. 221 rem 83
  15. 933 rem 15
  16. 598 rem 32
  17. 740 rem 21
  18. 1030 rem 0
  19. 781 rem 60
  20. 946 rem 948
  21. 895 rem 12
  22. 331 rem 70
  23. 467 rem 7
  24. 52 rem 41
  25. 787 rem 407
  26. 555 rem 649
  27. 50 rem 451
  28. 825 rem 49
  29. 491 rem 579
  30. 143 rem 156
  31. 276 rem 56
  32. 337 rem 83
  33. 1049 rem 1
  34. 11 rem 227
  35. 498 rem 182
  36. 537 rem 502
  37. 104 rem 550
  38. 430 rem 53
  39. 591 rem 59
  40. 202 rem 862

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